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In legal terminology, the assured clear distance ahead (ACDA) is the distance ahead of any terrestrial locomotive device such as a land vehicle, typically an automobile, or watercraft, within which they should be able to bring the device to a halt. [1] It is one of the most fundamental principles governing ordinary care and the duty of care for all methods of conveyance, and is frequently used to determine if a driver is in proper control and is a nearly universally implicit consideration in vehicular accident liability. [2] [3] [4] The rule is a precautionary trivial burden required to avert the great probable gravity of precious life loss and momentous damage. [5] [6] [7] Satisfying the ACDA rule is necessary but not sufficient to comply with the more generalized basic speed law, and accordingly, it may be used as both a layman's criterion and judicial test for courts to use in determining if a particular speed is negligent, but not to prove it is safe. [8] As a spatial standard of care, it also serves as required explicit and fair notice of prohibited conduct so unsafe speed laws are not void for vagueness. [9] [10] [11] The concept has transcended into accident reconstruction and engineering. [12]
This distance is typically both determined and constrained by the proximate edge of clear visibility, but it may be attenuated to a margin of which beyond hazards may reasonably be expected to spontaneously appear. The rule is the specific spatial case of the common law basic speed rule, [13] and an application of volenti non fit injuria . The two-second rule may be the limiting factor governing the ACDA, when the speed of forward traffic is what limits the basic safe speed, and a primary hazard of collision could result from following any closer. [2] [3]
As the original common law driving rule preceding statutized traffic law, [13] it is an ever important foundational rule in today's complex driving environment. Because there are now protected classes of roadway users—such as a school bus, mail carrier, emergency vehicle, horse-drawn vehicle, agricultural machinery, street sweeper, disabled vehicle, [14] cyclist, and pedestrian—as well as natural hazards which may occupy or obstruct the roadway beyond the edge of visibility, [14] negligence may not depend ex post facto on what a driver happened to hit, could not have known, but had a concurrent duty to avoid. [13] [15] Furthermore, modern knowledge of human factors has revealed physiological limitations—such as the subtended angular velocity detection threshold (SAVT)—which may make it difficult, and in some circumstance impossible, for other drivers to always comply with right-of-way statutes by staying clear of roadway. [16] [17]
As with the genesis of most legal doctrine governing problems which precede a legislative solution, the ACDA principle generally originates to decisional precedent by high courts which reasoned general common sense rules of conduct of which naturally follow from the repetitive process of determining specific culpability. [18] [5] [19] [20] [21] [22] Legislation often subsequently followed which either superfluously codified and endorsed or revised these principles, [23] [24] of which courts would in turn continue to flesh out the details. [25] [26] [27] By the late 1920s, the term "assured clear distance ahead" came into widespread use as the identity of a standard of care element in choosing safe speed, [28] [29] with differing jurisdictions adopting the language to carry its same effects. [30] [31] Much of the earliest published record naturally pertains to high stakes wrecks [18] [21] among vessels [32] or vehicles [33] as defined in those times, though the obvious principle applies to chariots and might in fact be time immemorial. [13] [34] [35]
Horses may still be expected to use the roadways, as well bicycles and automobiles. [36] [37] [38] The former are a regular appearance in both urban areas and in the country, and are commonly exercised by commuters and Amish. Many roads are unchanged since the 1800s while controlled-access highways have been invented specifically for the automobile. [39] "At common law a motorist is required to regulate his speed so that he can stop within the range of his vision. In numerous jurisdictions, this rule has been incorporated in statutes which typically require that no person shall drive any motor vehicle in and upon any public road or highway at a greater speed than will permit him to bring it to a stop within the assured clear distance ahead." [4] [13] Decisional law usually settles the circumstances by which a portion of the roadway is assuredly clear without it being mentioned in statute. [2] States where the judiciary has explicitly established the state's ACDA law include Indiana, [40] Iowa, [27] Kansas, [41] Louisiana, [42] [43] Michigan, [44] [45] [46] New York, [47] North Carolina, [14] Ohio, [26] [48] Tennessee, [22] [49] Vermont, [50] Wisconsin, [21] [51] and California. [52] [53] [15] [54] [55]
Many states have further passed statutes which require their courts to more inflexibly weigh the ACDA in their determination of reasonable speed or behavior. Such statutes do so in part by designating ACDA violations as a citable driving offense, thus burdening an offending driver to rebut a presumption of negligence. States with such explicit ACDA standard of care provisions include: Iowa, [56] Michigan, [57] Ohio, [58] Oklahoma, [59] Pennsylvania, [60] and Texas. [61]
States which apply the principle by statute to watercraft on navigable waterways include all 174 member states of the International Maritime Organization, [62] notwithstanding membership: Great Britain and its common law inheriting Commonwealth of Nations, [18] [19] The United States, [5] [20] [25] Florida, [63] Hawaii, [64] Illinois, [65] Louisiana, [66] Michigan, [67] Montana, [68] Oregon, [69] Texas, [70] and West Virginia. [71]
Most state-issued and some Canadian driver handbooks instruct or mention the ACDA rule as required care or safe practice. [1] [72] [73] [74] [75] [76] [77] [78]
Explicit ACDA statutes and regulations, [79] especially those of which create a citable driving or maritime offense, are aimed at preventing harm that could result from potentially negligent behavior—whereas the slightly more obscure common law ACDA doctrine is most easily invoked to remedy actual damages that have already occurred as a result of such negligence. Unsafe speed statutes are immune from being void for vagueness [11] when they contain explicit ACDA clauses. Explicit and implicit ACDA rules govern millions of North American drivers.
Not all jurisdictions have applied the rule uniformly, most often differing over exceptions for specific "sudden emergencies". There has been an increased interest in the ACDA codified as a universal standard of care [80] [81] that has been brought about by recent technological and social changes such as event data recorders, [82] [83] dashcams, self-driving cars, [84] [12] safe cities and multi-use movements, [85] [86] [87] [88] [89] [90] [91] [92] [93] [94] [95] and a movement to reduce claims by speeders against governments for "dangerous conditions" when operating speeds exceed a road's inferred design speed. [96]
Collision liability has historically benefited the law profession by being cloaked as a mixture of fact and law, but with EDR's precisely preserving "a state of facts" often repeated with differing trial outcomes, collisions are less a question of fact, but of law. [80] [81] [97] [98] [99] Electronic access to precise EDR data and rulings with new ideological modeling tools, can now expose judges as consistent political advocates for differing special road user interests. [100] [101] [102] [103] Furthermore, the law needs to be clear, precise, and uniform [104] [105] at a national level for the panoply of automobile manufacturers with the strict liability for their programming of law-abiding self-driving vehicles. [84] [12] It is foreseeable that two self-driving car makes can collide because their algorithm of the law letter is different; [84] a resolvable issue that has been troubling human drivers for decades. The ACDA is a standard with descriptive mathematics, much of which are used in reverse by road engineers when designing or re-engineering roads to a speed criteria—for which its users were expected to follow. [106]
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The range of visibility of which is the de facto ACDA, is usually that distance before which an ordinary person can see small hazards—such as a traffic cone or buoy—with 20/20 vision. This distance may be attenuated by specific conditions such as atmospheric opacity, [108] blinding glare, [109] darkness, [1] [110] road design, [111] [112] and adjacent environmental hazards including civil and recreational activities, [13] horse-drawn vehicle, [37] ridden animal, [37] livestock, [37] deer, [113] crossing traffic, [15] and parked cars. The ACDA may also be somewhat attenuated on roads with lower functional classification. [114] [13] [112] This is because the probability of spontaneous traffic increases proportionally to the density of road access points, and this density reduces the distance a person exercising ordinary care can be assured that a road will be clear; such reduction in the ACDA is readily apparent from the conditions, even when a specific access point or the traffic thereon is not. [115] [Note 1] Furthermore, even though a through-driver may typically presume all traffic will stay assuredly clear when required by law, such driver may not take such presumption when circumstances provide actual knowledge under ordinary care that such traffic cannot obey the law. [115] During times of darkness, commercial vehicles can see ahead about 250 feet with low beams, and about 350–500 feet with high beams. [1] This clear distance corresponds to a maximum safe speed of 52 mph and 65-81 mph respectively on dry pavement with good tires, [107] [116] which is attenuated further by convex and lateral road curvature; safe speed is always dynamic. Non-commercial vehicles have even shorter lighting distances. [116] Drivers commonly drive the maximum posted speed limit at night, often in violation of the ACDA rule [116] [110] [46] [108] and this shows up in accident data. [117] [3]
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Graphs are unavailable due to technical issues. There is more info on Phabricator and on MediaWiki.org. |
As a corollary to the rule that drivers generally must not pose an "immediate hazard" upon where or when they cannot assure such distance ahead is clear, it follows that others may presume that no vehicle is posing an "immediate hazard" from beyond where they can see with proper lookout. Where there are cross roads or side roads with view obstructions, the assured clear distance terminates at the closest path of potential users of the roadway until there is such a view which assures the intersection will remain clear. In such situations, approach speed must be reduced in preparation for entering or crossing a road or intersection or the unmarked pedestrian crosswalks [121] [122] and bike paths [123] they create because of potential hazards. [124] [125] [54] [126] [127] [128] This jurisprudence arises in-part because of the known difficulty in estimating the distance and velocity of an approaching vehicle, [128] [118] [119] which is psychophysically explained by its small angular size and belated divergence from an asymptotically null rate of expansion, which is beyond the subtended angular velocity detection threshold (SAVT) limits of visual acuity [129] [130] [131] [16] [17] by way of the Stevens' power law [16] and Weber–Fechner law, until the vehicle may be dangerously close; subjective constancy and the visual angle illusion [132] may also play a role. [Note 2] [Note 3] Vehicles that are approaching an intersection from beyond the SAVT limit cannot be reliably distinguished between moving or parked, though they may be traveling at such an imprudent speed as to pose an immediate hazard. In this circumstance, it is impossible for the entering driver to have fair notice that his or her contemplated conduct is forbidden by such hazard, [9] [119] and any legal expectation to the contrary would implicate violating the vagueness doctrine of the US Constitution. [9] [Note 4] It is the duty of the through-driver to decelerate [133] [125] [54] [126] and apply the ACDA principle specifically to the intersection. [1] [13] [35] [112] [15] See Table of detection thresholds.
When approaching an un-signalized intersection controlled by a stop sign, the assured clear distance ahead is:
Normal acceleration "ai" for a passenger vehicle from a stop up to 20 mph is about 0.15g, with more than 0.3g being difficult to exceed. [124] The distance "di" is the sum of the measured limit line setback distance—which is typically regulated by a Manual on Uniform Traffic Control Devices, at often between 4 and 30 feet in the United States [134] [135] [136] —and the crosswalk, parking lane, and road shoulder width. A vehicle accelerating from a stop travels this distance in time ti=√2di⁄ai while through traffic travels a distance equal to their speed multiplied by that time. The time tpc, for the stopped motorist, is the sum of perception time and the time required to actuate an automatic transmission or shift to first gear which is usually between 1⁄2 to one second. [137]
Horizontal clearance is measured from the edge of the traveled way to the bottom of the nearest object, tree trunk or shrub foliage mass face, plant setback, or mature growth. [106] [138] Horizontal sight distance is not to be confused with the clear recovery zone which provides hazardous vegetation set-back to allow errant vehicles to regain control, and is exclusive to a mowed and limbed-up forest which can allow adequate sight distance, but unsafe recovery. [138] The height and lateral distance of plants restrict the horizontal sight distance, at times obscuring wildlife which may be spooked by an approaching vehicle and run across the road to escape with their herd. [113] [138] This principle also applies to approaching vehicles and pedestrians at uncontrolled intersections and to a lesser degree by un-signalized intersections controlled by a yield sign. Horizontal sight distance "dhsd" affects the ACDA because the time ti=dhsd/Vi it takes for an intercepting object, animal, pedestrian, or vehicle with speed "Vi" to transverse this distance after emerging from the proximate edge of lateral visibility affords a vehicle with speed "V" a clear distance of "V*ti". Thus, the assured clear intercept distance "ACDAsi" is:
The faster one drives, the farther down-road an interceptor must be in order to be able to transverse the horizontal sight distance in time to collide, however this says nothing of whether the vehicle can stop by the end of this type of assured clear distance. Equating this distance to the total stopping distance and solving for speed yields one's maximum safe speed as purely dictated by the horizontal sight distance.
The ACDA may also be dynamic as to the moving distance past which a motorist can be assured to be able to stay clear of a foreseeable dynamic hazard—such as to maintain a distance as to be able to safely swerve around a bicyclist should he succumb to a fall—without requiring a full stop beforehand, if doing so could be exercised with due care towards surrounding traffic. Quantitatively this distance is a function of the appropriate time gap and the operating speed: dACDA=tgap⋅v. The assured clear distance ahead rule, rather than being subject to exceptions, is not really intended to apply beyond situations in which a vigilant ordinarily prudent person could or should anticipate. [4] A common way to violate the dynamic ACDA is by tailgating.
The most accurate way to determine the ACDA is to directly measure it. Whereas this is impractical, sight distance formulas can be used with less direct measurements as rough baseline estimates. The empirical assured clear distance ahead calculated with computer vision, range finding, traction control, and GIS, such as by properly programming computer hardware used in autonomous cars, can be recorded to later produce or color baseline ACDA and safe speed maps for accident investigation, traffic engineering, and show disparities between safe speed and 85th percentile "operating" speed. [139] Self-driving cars [12] [140] may have a higher safe speed than human driven vehicles for a given ACDA where computer perception-reaction times are nearly instantaneous.
The Assured Clear Distance Ahead can be subjective to the baseline estimate of a reasonable person or be predetermined by law. For example, whether one should have reasonably foreseen that a road was not assuredly clear past 75–100 meters because of tractors or livestock which commonly emerge from encroaching blinding vegetation is on occasion dependent on societal experience within the locale. In certain urban environments, a straight, traffic-less, through-street may not necessarily be assuredly clear past the entrance of the nearest visually obstructed intersection as law. [13] [112] [115] [128] Within the assured clear distance ahead, there is certainty that travel will be free from obstruction which is exclusive of a failure to appreciate a hazard. Collisions generally only occur within one's assured clear distance ahead which are "unavoidable" to them such that they have zero comparative negligence including legal acts of god and abrupt unforeseeably wanton negligence by another party. Hazards which penetrate one's proximate edge of clear visibility and compromise their ACDA generally require evasive action.
Drivers need not and are not required to precisely determine the maximum safe speed from real-time mathematical calculations of sight distances and stopping distances for their particular vehicle. [118] Motor vehicle operators of average intelligence [81] [141] are constantly required to utilize their kinesthetic memory in all sorts of driving tasks including every time they brake to a full stop at a stop line in a panoply of conditions. [53] [142] Like throwing a softball, one does not have to mathematically calculate a trajectory or firing solution in order to hit a target with repeated accuracy. During the earliest stages of learning how to drive, one develops a memory of when to start braking (how long it takes) from various speeds in order to stop at the limit line. [142] While there may be a degree of variance of such skill in seasoned drivers, they generally do not have the discretion in engaging in a behavior such as driving a speed above which no reasonable minds might differ as to whether it is unsafe or that one could come to a stop within the full distance ahead. [126] [141]
Drivers and law enforcement alike can apply elementary level arithmetic [143] towards a rule of thumb to estimate minimal stopping distance in terms of how many seconds of travel ahead at their current speed. For speed "v" in miles per hour, this rule of thumb is as follows:
If this distance is greater than the ACDA, they need to decelerate. While most experienced drivers develop a broad intuition required by everyday braking, [142] this rule of thumb can still benefit some to recalibrate expectations for rare hard braking, particularly from high speeds. Additional simple corrections can be made to compensate for the environment and driving ability. Read more about the Seconds of Distance to Stop Rule.
The ACDA distances are a principal component to be evaluated in the determination of the maximum safe speed (VBSL) under the basic speed law, without which the maximum safe speed cannot be determined. As mathematical statements are more precise than verbal statements alone, [144] the relation of the ACDA as a subset of the basic speed rule for land based vehicles may be objectively quantified as follows:
The value of the variable "e" is the sine of the angle of inclination of the road's slope. For a level road this value is zero, and for small angles it approximates the road's percent grade divided by one hundred.
The maximum velocity permitted by the Assured Clear Distance Ahead is controlling of safe speed (VBSL) for only the top and two cases. Safe speed may be greater or less than the actual legal speed limit depending upon the conditions along the road. [124]
See reference VBSL derivations for basic physics explanation.
For the top case, the maximum speed is governed by the assured clear "line-of-sight", as when the "following distance" aft of forward traffic and "steering control" are both adequate. Common examples include when there is no vehicle to be viewed, or when there is a haze or fog that would prevent visualizing a close vehicle in front. This maximum velocity is denoted by the case variable , the friction coefficient is symbolized by —and itself a function of the tire type and road conditions, the distance is the static ACDA, the constant is the acceleration of gravity, and interval is the perception-reaction time—usually between 1.0 and 2.5 seconds. [145] [146]
The second case describes the relationship of horizontal sight distance on safe speed. It is the maximum speed at which a vehicle can come to a full stop before an object, with speed Vi, can intercept after having emerged and traveled across the horizontal sight distance "dhsd". Urban and residential areas have horizontal sight distances that tend to be closely obstructed by parked cars, utility poles, street furnishing, fencing, signage, and landscaping, but have slower intercepting speeds of children, pedestrians, backing cars, and domestic animals. These interceptors combined with dense usage results in collisions that are more probable and much more likely to inflict harm to an outside human life. In rural areas, swift-moving spooked wildlife such as deer, [113] elk, moose, and antelope are more likely to intercept a roadway at over 30 mph (48 km/h). Wildlife will frequently transit across a road before a full stop is necessary, however collisions with large game are foreseeably lethal, and a driver generally has a duty not to harm his or her passengers. The foreseeable intercept speed or defectively designed horizontal sight distance may vary "reasonably" with judicial discretion.
This third case regards safe speed around un-signalized intersections where a driver on an uncontrolled through street has a duty to slow down in crossing an intersection and permit controlled drivers to be able pass through the intersection without danger of collision. [126] [147] The driver on the through street must anticipate and hence not approach at an unsafe speed which would prevent another driver from being able to enter while traffic was some distance away, or would be unsafe to a driver who has already established control of the intersection under a prudent acceleration ai, from a stop at a limit line a distance dsl away. [137]
The pedantic fourth case applies when the dynamic ACDA "following distance" (dACDAd) is less than the static ACDA "line-of-sight" distance (dACDAs). A classic instance of this occurs when, from a visibility perspective, it would be safe to drive much faster were it not for a slower-moving vehicle ahead. As such, the dynamic ACDA is governing the basic speed rule, because in maintaining this distance, one cannot drive at a faster speed than that matching the forward vehicle. The "time gap" tg or "time cushion" is the time required to travel the dynamic ACDA or "following distance" at the operating speed. Circumstances depending, this cushion might be manifested as a two-second rule or three-second rule.
In the fifth case, critical speed Vcs applies when road curvature is the factor limiting safe speed. A vehicle which exceeds this speed will slide out of its lane. Critical speed is a function of curve radius r, superelevation or banking e, and friction coefficient μ; [124] the constant g again is the acceleration of gravity. However, most motorists will not tolerate a lateral acceleration exceeding 0.3g (μ = 0.3) above which many will panic. [148] Hence, critical speed may not resemble loss of control speed. [148] Attenuated "side" friction coefficients are often used for computing critical speed. [138] The formula is frequently approximated without the denominator for low angle banking which may be suitable for nearly all situations except the tightest radius of highway onramps. [138] [149] The principle of critical speed is often applied to the problem of traffic calming, where curvature is both used to govern maximum road speed, and used in traffic circles as a device to force drivers to obey their duty to slow down when approaching an intersection. [125] [54]
The bottom case is invoked when the maximum velocity for surface control Vcl is otherwise reached. Steering control is independent from any concept of clear distance ahead. If a vehicle cannot be controlled so as to safely remain within its lane above a certain speed and circumstance, then it is irrelevant how assuredly clear the distance is ahead. Using the example of the previous case, the safe speed on a curve may be such that a driver experiences a lateral acceleration of less than 0.3g despite that the vehicle may not slide until it experiences 0.8g. Speed wobble, hydroplaning, roll center, fishtailing, jackknife tendencies, potholes, washboarding, frost heaving, [150] and tire speed rating are other factors limiting Vcl.
Safe speed is the maximum speed permitted by the basic speed law and negligence doctrine. Safe speed is not the same as the 85 percentile operating speed [151] used by traffic engineers in establishing speed zones. [124] [134] [152] [153] Fog, snow, or ice can create conditions where most people drive too fast, and chain reaction accidents in such conditions are examples of where large groups of drivers collided because they failed to reduce speed for the conditions. [124] [154] The speeds at which most people drive can only be a very rough guide to safe speed, [124] and an illegal or negligent custom or practice is not in itself excusable. [155] [81] [156] [80] Safe speed approximates the inferred design speed adjusted for environmental alterations and vehicle and person specific factors when VACDAs is the limiting factor. [157] The Solomon curve concept can create an approach-avoidance conflict within the driver who wishes neither to drive faster than is lawful and the conditions allow nor have an unsafe speed discrepancy between other vehicles on the road; it is never legal to go faster than the speed limit, and unilaterally reducing the risk of the latter can lead to a mass crash caused by the former. [154]
Many people are challenged by the concept of unsafe speed because they find it vague and arbitrary. [11] It is well known that people instead resolve such challenges by attribute substitution, [158] which in this case can mean simply emulating the behaviors of others. In accord with the cultural theory of risk, indeed a substantial part of a driver's risk perception comes from comparing their contemplated conduct to the behavior of others; this includes the safeness of a given speed, notwithstanding the actual risk. As a result of this uncorrected vagueness, group behavior can often be in opposition to safe speed and still be governing a hazardous posted speed limit. By federal law, posted speed limits are generally within 5 mph of the 85th-percentile speed of free-flowing traffic. [106] [134] [152] [153] [159] Functionality, this amounts to citizens "voting" a street's speed limit with their gas pedal from the influence of groupshift. As people generally follow explicit rules all the time of which they do not agree, it is often simply a jurisdiction's failure in their law to sufficiently quantify and disseminate fair notice of an explicit standard of care, such as the ACDA rule. Most DMV driver manuals teach the practice, but far fewer states explicitly back it up in their actual statutes and law enforcement. [1] [72] [73] [74] If drivers were mindful of the ACDA, the operating speed would by definition not exceed the inferred design speed. [106] [153] In some cases, police focused on driving while "influenced", pull over slower quartile sober night-time drivers moving no faster than they can stop within the radius of their headlights; [1] this discourages adjusting speed downward from anything but the posted "maximum speed" permitted by law—which is determined as previously described. It is often unsafe or illegal to drive in excess of 40–50 mph at night. [116] [117] [110] [160] [3] [46]
A general principle in liability doctrine is than an accident which would not have occurred except for the action or inaction of some person or entity contrary to a duty such as the exercise of proper care was the result of negligence. The liability space from which one can recover [161] is typically, themselves, other parties, or nobody. [162] Jurisdictional exceptions permitting one to legally take "assurance" that the distance will be clear beyond the proximate edge of clear visibility and choose such a speed accordingly, transfers classic common law liability from that driver for his or her "blind" actions. This duty to assure clear distance ahead is inevitably transferred, as an externality to everybody or thing else who must instead warn the driver, such as the government, its road engineers, and maintainers. [163] [96] [164]
As it is generally probable and foreseeable that, chance will permit, and at some point there will be an obstruction beyond some driver's line of sight, such an entitlement challenges centuries [18] [19] of precedent in negligence doctrine in addition to posing difficult policy and engineering challenges. It also violates the calculus of negligence [144] because speed is an inherent factor in vehicular accidents which are a leading cause of priceless life loss [165] [166] [167] [168] [169] [128] and lawsuits, and the burden of a precautions speed is radically lower than the former. [169]
The assumption of risk resulting from the unsafe activity of driving faster than one can stop within one's vision, does not depend ex post facto on what you happened to hit, for which by nature you could not have known; it could have been a moose or a luxury car. Furthermore, modern times still provide no legal remedies for Darwinian misfortune upon the entire class of unwarnable accidents where drivers and their passengers would not have collided into the likes of a moose, [113] livestock, [37] fallen tree, rock, jetsam, horse-drawn vehicle, [37] stalled vehicle, [170] school bus, garbage truck, mail carrier, snowplow, washout, snow drift, or slid off the road, were it not for their decisions to drive faster than dictated by the assured clear distance ahead. Regardless of what behavior an authority might encourage by fabricating new rights, it remains timeless that constituents cannot sue the wind for causing a wreck when it inevitably violates a "modern right to drive faster than permitted by the ACDA" by failing to warn them it knocked down a tree in a forest with many trees which all eventually fell. In this specific regard, jurisdictions which grant drivers the liberty to be fools from their own folly, are also condoning the collateral damage and life loss which is expected to occur. Moreover, modern life-entrusting consumers of driving services and driverless cars [12] who suffer such caused injury are left without legal remedy for foreseeable outcome of imprudent speed; this in-turn unnecessarily transfers a substantive portion of the ACDA liability space into act of god, government claims, strict liability, or other findings from legal fiction which the justice system generally abhors. What modern times are changing is that one may assure the distance is clear ahead virtually through the Internet of Things, as smart cars connect to get information from smart highways or pass what they see ahead or measure to traffic behind. [171] A fundamental corollary of the ACDA rule is that technology, expectations, and desires may modernize, but the laws of physics can not and do not. [34] [35] The deceleration coefficients and reactions times may change from conveyance by chariot, horse and buggy, internal combustion engine, electric motor, and by driverless car, but the equations governing stopping distances are immutable. Finally, where it is the policy of the law not to fault well intending diligent citizens for innocent mistakes, [118] [119] human life reaps continued benefit from the ACDA duty of which instills the necessary room to survive uninjured from such foreseeable and excusable error while adding redundancy in the responsibility to avoid a collision; mere unilateral duties laid down to assure the safety of others tend to result in hazardous risk compensation by those unfettered parties [172] resulting in a moral hazard.
Allowing one to drive faster than their vision permits them to safely stop, results in there being no core standard of care regarding safe speed making unsafe speed laws void for vagueness. [10] The ACDA minimum standard gives fair notice of what conduct is prohibited, and people of ordinary intelligence can apply their braking experience or the seconds of distance to stop rule to the distance they can see; [142] once one is allowed to cruise-on without control beyond the edge of visibility, there is little consensus on what arbitrary speed is unsafe, or what to assume of the vague conditions there-past. [11]
To be able to guarantee "assurance" beyond proximate edge of clear visibility, in doing so exempting ACDA duty, a road must be designed and maintained such that there is not a chance of obstruction in one's lane beyond the proximate edge of clear visibility. A road's vertical profile must be assured to have such a curvature as not to hide hazards close behind its crests. Discretion for drivers and pedestrians to enter onto a potentially occupied lane from a side street must be assuredly eliminated such as with fences, merge lanes, or signalized access. There must also be an assurance of no opportunity for animals and debris to enter from side lots, and that there are continuous multi-hourly maintenance patrols performed. Furthermore, such road sections must be distinguished from other roads so that the driver could clearly and immediately know when he or she may or may not take such extended "assurance". Few roads might meet these requirements except some of the highest functional classification controlled-access highways such as freeways and autobahns. [114]
Even if such criteria are met, the law must also exempt driver liability for maintaining clear distance ahead. In most democracies, such liability for failures of the distance to remain clear beyond line of sight would ultimately be transferred to its taxpayers. [96] This only generally occurs when governments have been tasked by constituents or their courts to take the responsibly to design and maintain roadways that "assure" the distance will be clear beyond the proximate edge of clear visibility. Pressures to make such changes may arise from cultural normalization of deviance and unnecessary risk, misunderstanding the purpose of the road functional classification system, underestimation of increased risk, and reclamation of commute time. [114]
One of the greatest difficulties created by such an extension of the ACDA is the frequency at which roads reduce their functional classification [114] unbeknownst to drivers who continue unaware they have lost this extended "assurance" or do not understand the difference. Such nuance in applicable jurisdictions is a prolific source of accidents. [125] In the United States, there is no explicit road marking promising clear distance beyond line of sight in the Manual on Uniform Traffic Control Devices, although there are signs communicating "limited sight distance", "hill blocks view", "crossroad ahead", and "freeway ends". [173] A partial solution to this challenge is to remove driver discretion in determining whether the ACDA is extended beyond line of sight, by explicitly designating this law change to certain marked high functional classification roadways having meet strict engineering criteria. [114]
The ACDA rule is analogous to aviation visual flight rules, and its discussed exception—allowed only in a well regulated control zone—is analogous to instrument flight rules. Unlike both visual and instrumental flight rules, where federal and international administrative law applies seamlessly and uniformly across the states, the ACDA rule governing ground transportation is relatively variegated across states and judicial circuits. [10] [47] [105] [174] [175] Primitive patchwork governance over a prominent interstate commercial subject, in a modern era where citizens quickly and more frequently travel father than ever before, creates problems for modern driverless cars which are programmed, distributed, sold, and traded at national levels. [12] [104] [140] As opposed to a strict standard of care, [176] [80] [81] [177] delegation of such standard to a jury [178] assumes the representativeness heuristic [179] for twelve people to determine ordinary care representative of everyone while ignoring its insensitivity to sample size, which of course when applied to multiple cases involving identical situational circumstances results in many verdicts with opposing extreme views, [81] which works against the utility of the law by making it arbitrarily vague. [80] [81] A national uniformity standard which either administratively lays down the ACDA law as has been done for aircraft, or requires states to legislatively enact in order to receive federal DOT funding as has been done for the national legal drinking age, is a subject of debate for those who argue far more people die in cars than in aircraft. [165] [166] [128] [180] While group polarization towards safety has shifted the criminal blood alcohol threshold below levels for which the risk is statistically marginal, [6] [181] the tolerance for speeding—of which each speed unit increment carries an equatable risk relative to BAC [6] —remains relatively neglected. Speed is responsible for more crashes and economic loss than is alcohol. [165] The discrepancy may be partly explained by powerful special interest groups that are lobbying against drunk driving and for loser speed regulation. [182]
Starting with Newton's Second Law of Motion and the Laws of Friction:
Equating the net force to mass times acceleration:
Invoking the equations of motion and substituting acceleration:
Substituting the small angle approximations, and exploiting that the product of a small angle squared, in radians, with the friction coefficient, θ2μ, is insignificant (for a steep 20% slope and a good friction coef. of 0.8, this equals (.2)2x0.8≈0.03):
Now, the total stopping distance is the sum of the braking and perception-reaction distances:
Isolating zero as preparation to solve for velocity:
Completing the square or invoking the quadratic formula to find the solution:
Use small-angle approximation to obtain a more field-able version of the above solution in terms of percent grade/100 "e" instead of an angle θ in radians:
Substituting the angle as described produces the form of the formula of case 1 ():
The Basic Speed Law constrains the assured clear distance ahead to the total stopping distance, and the small angle value of road grades approximates the superelevation "e."
Many roadways are level, in which case the small angle approximations or superelevation may be dropped altogether:
This model ignores the effects of air drag, rolling resistance, lift, and relativity as a vehicle's great momentum and weight dominate these factors; they increase the complexity of the formulas while insubstantially changing the outcomes in practically all driving situations except ultra-low-mass bicycles stopping from inherently dangerously high speeds; usability to the layman and conformance with current standard engineering assumptions [106] [107] is the objective and a vehicle's lift factor is often inaccessible. Learn a level ground model with most of those effects here or read about the automobile drag coefficient.
The time required for an obstruction with speed vi to transect the horizontal sight distance di:
The time required to travel down a road at speed v to said obstruction of distance d away:
Equating the two times:
Solving for this distance:
Equating this to the total stopping distance, which is the sum of braking and perception-reaction distances:
Isolating zero, and factoring out a v:
Solving for the non-trivial case (or may distribute v in equation above and apply quadratic formula for same result):
The solution to the above equation, which provides the maximum safe speed as a function of horizontal sight distance, intercept velocity, and road-tire friction coefficient:
The time required for a vehicle to enter a controlled intersection from a stop is the sum of the perception time (tp), the time required to actuate an automatic transmission or shift to first gear (tc), and the time to accelerate and enter or traverse the road (ta). The sum of the first two quantities is tpc.
The time required for a vehicle entering with acceleration ai to transect the sum of the setback and shoulder distances di under uniform acceleration ai from a stop via the equations of motion:
The time required to travel down a road at speed v to said obstruction of distance d away:
Equating the two times:
Solving for this distance:
Equating this to the total stopping distance, which is the sum of braking and perception-reaction distances:
Isolating zero, and factoring out a v:
Solving for the non-trivial case (or may distribute v in equation above and apply quadratic formula for same result):
The solution to the above equation, which provides the maximum safe speed as a function of horizontal setback, intercept acceleration, and road-tire friction coefficient:
Starting with Newton's Laws of Motion, the Laws of Friction, and Centripetal force:
Substituting formulas for Centripetal force, frictional force, and gravitational force:
The normal force is equal and opposite to the sum of the gravitational and centripetal components:
Isolate terms:
Then solve for :
To obtain:
This is the full solution, however most corners are banked at less than 15 degrees (≈28% grade), so in such conditions, a fieldable small angle approximation may be used.
Substituting small-angle approximations sin θ ≈ θ, cos ≈ 1 − θ2/2:
Exploit that a small angle squared, in radians, is insignificant by substituting θ2≈0 which obtains the formula used in case 5 (also tan θ≈e):
The seconds-of-distance-to-stop rule is derived as follows.
We first obtain the total stopping distance and then convert it into travel time, which is more easily applicable by the driver.
Invoking the equations of motion,
where
The time it takes to casually traverse the stopping distance at the travel speed is
Substituting the former into the latter,
This can be simplified into the rule-of-thumb form
by noting that
Substituting (US Customary units)
we have
This results in a seconds-of-distance-to-stop rule (in MPH) of
The dry rule does allow one to travel faster in dry weather, but expect emergency deceleration to be a bit uncomfortable. If one desires to remember only one rule, use the wet one. However, because the difference between wet and dry is half-a-second at 30 MPH and one second at 60 MPH, and because dividing by two is easier than three, we can use a correctable rule of thumb:
For example, a speed of 60 miles per hour (97 km/h) corresponds to stopping distance of 4 seconds' travel at 60 mph. Drivers that require additional perception-reaction time, such as novices, elderly, or those in complex or adverse environments, can benefit by adding additional seconds. [183] [184]
The time to traverse your stopping distance at travel speed should not be confused with the braking time to come to a full stop, which is a number nearly twice this value ( t=v/μ g+tptr ). As one is continually slowing down while braking, it will naturally take longer to get to the stopping limit.
A more correct perception-reaction time of one-and-a-half seconds is commonly used by the mathematically inclined. [107] [146] Doing so to obtain your "seconds-of-distance-to-stop" for dry pavement and then converting time to actual distance by multiplying it by the travel velocity and 22/15 to convert MPH to fps will yield results in close agreement with this table.
Whereas most driving is done below 80 miles per hour (130 km/h), maintaining a blanket 5 or 6 seconds of travel time to the edge of visibility (t=80/20+1), will keep drivers in compliance with the ACDA rule in most simple highway driving conditions – day or night – with growing error towards safety at lower speeds.
On final note, slope has an effect on stopping distance. An additional second or so will need to be added when stopping while traveling down a steep incline, and conversely driving uphill will improve breaking. [106] This is accounting that a level road was assumed in the rule of thumb. See more general derivation here
Road surface | Peak value (μs) | Sliding value (μd) |
---|---|---|
Asphalt and concrete (dry) | 0.80 − 0.90 | 0.75 |
Asphalt (wet) | 0.50 − 0.70 | 0.45 − 0.60 |
Concrete (wet) | 0.80 | 0.70 |
Gravel | 0.60 | 0.55 |
Earth road (dry) | 0.68 | 0.65 |
Earth road (wet) | 0.55 | 0.40 − 0.50 |
Snow (hard-packed) | 0.20 | 0.15 |
Ice | 0.10 | 0.07 |
pedestrian(walk/run) | bicycle | cat | dog | deer | elk |
---|---|---|---|---|---|
3.1–5.6 mph/27.78 mph [188] | 14.7f/s [189] | 29.8 mph | 63.5 km/h | 48.2 km/h | 72.4 km/h |
See more animal intercept speeds. See article on speed.
Code | mph | km/h | Code | mph | km/h | |
---|---|---|---|---|---|---|
A1 | 3 | 5 | L | 75 | 120 | |
A2 | 6 | 10 | M | 81 | 130 | |
A3 | 9 | 15 | N | 87 | 140 | |
A4 | 12 | 20 | P | 94 | 150 | |
A5 | 16 | 25 | Q | 100 | 160 | |
A6 | 19 | 30 | R | 106 | 170 | |
A7 | 22 | 35 | S | 112 | 180 | |
A8 | 25 | 40 | T | 118 | 190 | |
B | 31 | 50 | U | 124 | 200 | |
C | 37 | 60 | H | 130 | 210 | |
D | 40 | 65 | V | 149 | 240 | |
E | 43 | 70 | Z | over 149 | over 240 | |
F | 50 | 80 | W | 168 | 270 | |
G | 56 | 90 | (W) | over 168 | over 270 | |
J | 62 | 100 | Y | 186 | 300 | |
K | 68 | 110 | (Y) | over 186 | over 300 |
See article on tire codes.
ACDA [meters] | ACDA [feet] | Safe speed [km/h] | Safe speed [mph] |
---|---|---|---|
1 | 3.3 | 2.3 | 1.4 |
2.5 | 8.2 | 5.6 | 3.5 |
4 | 13.1 | 8.6 | 5.3 |
5.5 | 18.0 | 11.4 | 7.1 |
7 | 23.0 | 14.1 | 8.8 |
8.5 | 27.9 | 16.7 | 10.4 |
10 | 32.8 | 19.1 | 11.9 |
15 | 49 | 27 | 16 |
30 | 98 | 45 | 28 |
45 | 148 | 60 | 37 |
60 | 197 | 73 | 45 |
75 | 246 | 84 | 52 |
90 | 295 | 95 | 59 |
105 | 344 | 105 | 65 |
120 | 394 | 114 | 71 |
135 | 443 | 122 | 76 |
150 | 492 | 130 | 81 |
165 | 541 | 138 | 86 |
180 | 591 | 146 | 91 |
195 | 640 | 153 | 95 |
210 | 689 | 160 | 99 |
225 | 738 | 166 | 103 |
240 | 787 | 173 | 107 |
255 | 837 | 179 | 111 |
270 | 886 | 185 | 115 |
285 | 935 | 191 | 119 |
300 | 984 | 197 | 122 |
The speed values in this table are produced from the formula using an "average" coefficient of friction (μ) of 0.7, and a perception-reaction time of 1.5 seconds. Speed values specific to a given circumstance can be obtained with the same formula using the appropriate reference constants specific to the circumstance.
HSD [meters] | HSD [feet] | Safe speed [km/h] | Safe speed [mph] |
---|---|---|---|
3.0 | 10 | 0 | 0 |
4.0 | 13.1 | 4.9 | 3.1 |
4.5 | 14.8 | 14.8 | 9.2 |
5.0 | 16.4 | 24.7 | 15.4 |
5.5 | 18.0 | 34.6 | 21.5 |
6 | 20 | 44 | 28 |
7 | 23 | 64 | 40 |
8 | 26 | 84 | 52 |
9 | 30 | 104 | 65 |
10 | 33 | 124 | 77 |
11 | 36 | 143 | 89 |
12 | 39 | 163 | 101 |
This table demonstrates why alleyways, parking lots, parks, and residential areas frequently set 5–15 mph speed limits when the side clearance from the road is less than 15 feet. An urban or residential street which permits a maximum speed limit of 25 mph under its very best conditions (roadsides cleared of visual obstructions past a 20-foot maintained right of way), may in practice be unsafe to drive at more than 10 mph within sections with utilized curbside parking. This table also suggests that the safe speed could be greater than a statutory 25 mph posted speed, where roadside clearance is sufficient such that no "foreseeable" object could emerge from the proximate edge of roadside visibility, transect the cleared area, and intercept the lane before the driver could come to a halt. However, wary road design engineers may have differing views of foreseeable intercept speeds than that reflected by the 85th percentile speed chosen by the public. This can have unfortunate consequences where a mass commuting public is unfamiliar with or does not appreciate specific local hazards. Narrow lane widths are purposely used for traffic calming, because careful drivers universally choose their speed depending on the roadway width. [191] Standard horizontal clearances are commonly set by AASHTO guidelines or a jurisdiction's department of transportation. [106] [192]
HSD [meters] | HSD [feet] | Safe speed [km/h] | Safe speed [mph] |
---|---|---|---|
7 | 23 | 4 | 2 |
8 | 26 | 15 | 9 |
9 | 30 | 26 | 16 |
10 | 33 | 37 | 23 |
11 | 36 | 48 | 30 |
12 | 39 | 59 | 37 |
13 | 43 | 70 | 44 |
14 | 46 | 82 | 51 |
15 | 49 | 93 | 58 |
16 | 52 | 104 | 65 |
17 | 56 | 115 | 71 |
18 | 59 | 126 | 78 |
19 | 62 | 137 | 85 |
20 | 66 | 148 | 92 |
21 | 69 | 159 | 99 |
22 | 72 | 171 | 106 |
23 | 75 | 182 | 113 |
24 | 79 | 193 | 120 |
25 | 82 | 204 | 127 |
HSD [meters] | HSD [feet] | Safe speed [km/h] | Safe speed [mph] |
---|---|---|---|
20 | 66 | 0 | 0 |
21 | 69 | 3 | 2 |
22 | 72 | 7 | 4 |
23 | 75 | 11 | 7 |
24 | 79 | 14 | 9 |
25 | 82 | 18 | 11 |
26 | 85 | 22 | 14 |
27 | 89 | 26 | 16 |
28 | 92 | 29 | 18 |
29 | 95 | 33 | 20 |
30 | 98 | 37 | 23 |
31 | 102 | 40 | 25 |
32 | 105 | 44 | 27 |
33 | 108 | 48 | 30 |
34 | 112 | 51 | 32 |
35 | 115 | 55 | 34 |
36 | 118 | 59 | 37 |
37 | 121 | 62 | 39 |
38 | 125 | 66 | 41 |
39 | 128 | 70 | 43 |
40 | 131 | 74 | 46 |
41 | 135 | 77 | 48 |
42 | 138 | 81 | 50 |
43 | 141 | 85 | 53 |
44 | 144 | 88 | 55 |
45 | 148 | 92 | 57 |
46 | 151 | 96 | 59 |
47 | 154 | 99 | 62 |
48 | 157 | 103 | 64 |
49 | 161 | 107 | 66 |
50 | 164 | 110 | 69 |
The speed values in these tables are produced from the formula using an "average" coefficient of friction (μ) of 0.7, and a perception-reaction time of 1.5 seconds. Speed values specific to a given circumstance can be obtained with the same formula using the appropriate reference constants specific to the circumstance.
Setback [meters] | Setback [feet] | Approach speed [m/s] |
---|---|---|
0 | 0 | 0 |
0.5 | 1.6 | 11.3 |
1 | 3 | 16 |
1.5 | 4.9 | 19.6 |
2 | 7 | 23 |
3 | 10 | 28 |
4 | 13 | 32 |
5 | 16 | 36 |
6 | 20 | 39 |
8 | 26 | 45 |
10 | 33 | 51 |
12 | 39 | 55 |
14 | 46 | 60 |
16 | 52 | 64 |
18 | 59 | 68 |
20 | 66 | 72 |
22 | 72 | 75 |
24 | 79 | 78 |
26 | 85 | 82 |
28 | 92 | 85 |
30 | 98 | 88 |
Speed values specific to a given circumstance can be obtained with the same formula using the appropriate reference constants specific to the circumstance.
Speed [km/h] | Speed [mph] | Following distance [meters] | Following distance [feet] |
---|---|---|---|
0 | 0 | 0 | 0 |
5 | 3 | 3 | 9 |
10 | 6 | 6 | 18 |
15 | 9 | 8 | 27 |
20 | 12 | 11 | 36 |
25 | 16 | 14 | 46 |
30 | 19 | 17 | 55 |
35 | 22 | 19 | 64 |
40 | 25 | 22 | 73 |
45 | 28 | 25 | 82 |
50 | 31 | 28 | 91 |
55 | 34 | 31 | 100 |
60 | 37 | 33 | 109 |
65 | 40 | 36 | 118 |
70 | 43 | 39 | 128 |
75 | 47 | 42 | 137 |
80 | 50 | 44 | 146 |
85 | 53 | 47 | 155 |
90 | 56 | 50 | 164 |
95 | 59 | 53 | 173 |
100 | 62 | 56 | 182 |
105 | 65 | 58 | 191 |
110 | 68 | 61 | 200 |
115 | 71 | 64 | 210 |
120 | 75 | 67 | 219 |
125 | 78 | 69 | 228 |
130 | 81 | 72 | 237 |
135 | 84 | 75 | 246 |
140 | 87 | 78 | 255 |
145 | 90 | 81 | 264 |
150 | 93 | 83 | 273 |
Radius [meters] | Radius [feet] | Safe speed [km/h] | Safe speed [mph] |
---|---|---|---|
5 | 16.4 | 21.1 | 13.1 |
10 | 33 | 30 | 19 |
20 | 66 | 42 | 26 |
30 | 98 | 52 | 32 |
40 | 131 | 60 | 37 |
50 | 164 | 67 | 41 |
60 | 197 | 73 | 45 |
70 | 230 | 79 | 49 |
80 | 262 | 84 | 52 |
90 | 295 | 89 | 56 |
100 | 328 | 94 | 59 |
110 | 361 | 99 | 61 |
120 | 394 | 103 | 64 |
130 | 427 | 108 | 67 |
140 | 459 | 112 | 69 |
150 | 492 | 116 | 72 |
160 | 525 | 119 | 74 |
170 | 558 | 123 | 76 |
180 | 591 | 127 | 79 |
190 | 623 | 130 | 81 |
200 | 656 | 133 | 83 |
The speed values in this table are produced from the formula using an "average" coefficient of friction (μ) of 0.7 and zero superelevation. Speed values specific to a given circumstance can be obtained with the same formula using the appropriate reference constants specific to the circumstance.
Radius [meters] | Radius [feet] | Safe speed [km/h] | Safe speed [mph] |
---|---|---|---|
5 | 16 | 14 | 9 |
10 | 33 | 20 | 12 |
15 | 49 | 24 | 15 |
20 | 66 | 28 | 17 |
25 | 82 | 31 | 19 |
30 | 98 | 34 | 21 |
35 | 115 | 37 | 23 |
40 | 131 | 39 | 24 |
45 | 148 | 41 | 26 |
50 | 164 | 44 | 27 |
55 | 180 | 46 | 28 |
60 | 197 | 48 | 30 |
65 | 213 | 50 | 31 |
70 | 230 | 52 | 32 |
75 | 246 | 53 | 33 |
80 | 262 | 55 | 34 |
85 | 279 | 57 | 35 |
90 | 295 | 59 | 36 |
95 | 312 | 60 | 37 |
100 | 328 | 62 | 38 |
105 | 344 | 63 | 39 |
110 | 361 | 65 | 40 |
115 | 377 | 66 | 41 |
120 | 394 | 68 | 42 |
125 | 410 | 69 | 43 |
130 | 427 | 70 | 44 |
140 | 459 | 73 | 45 |
145 | 476 | 74 | 46 |
150 | 492 | 76 | 47 |
155 | 509 | 77 | 48 |
160 | 525 | 78 | 49 |
170 | 558 | 81 | 50 |
175 | 574 | 82 | 51 |
180 | 591 | 83 | 51 |
185 | 607 | 84 | 52 |
190 | 623 | 85 | 53 |
200 | 656 | 87 | 54 |
205 | 673 | 88 | 55 |
210 | 689 | 89 | 56 |
220 | 722 | 92 | 57 |
230 | 755 | 94 | 58 |
240 | 787 | 96 | 59 |
245 | 804 | 97 | 60 |
250 | 820 | 98 | 61 |
260 | 853 | 100 | 62 |
280 | 919 | 103 | 64 |
300 | 984 | 107 | 66 |
320 | 1050 | 110 | 69 |
340 | 1115 | 114 | 71 |
360 | 1181 | 117 | 73 |
380 | 1247 | 120 | 75 |
400 | 1312 | 124 | 77 |
420 | 1378 | 127 | 79 |
440 | 1444 | 130 | 80 |
460 | 1509 | 132 | 82 |
480 | 1575 | 135 | 84 |
500 | 1640 | 138 | 86 |
Most motorists will not tolerate a lateral acceleration exceeding 0.3g (μ=0.3) above which many will panic. [148]
Speed values specific to a given circumstance can be obtained with the same formula using the appropriate reference constants specific to the circumstance.
Speed [KM/H] | Speed [MPH] | Detection distance [m] | Detection distance [ft] | Time to collision [s] |
---|---|---|---|---|
5 | 33–61 | 5–8 | ||
10 | 47–87 | 3–6 | ||
15 | 58–106 | 3–5 | ||
20 | 67–123 | 2–4 | ||
25 | 74–137 | 2–4 | ||
30 | 81–150 | 2–3 | ||
35 | 88–162 | 2–3 | ||
40 | 94–173 | 2–3 | ||
45 | 100–184 | 2–3 | ||
50 | 105–194 | 1–3 | ||
55 | 110–203 | 1–3 | ||
60 | 115–212 | 1–2 | ||
65 | 120–221 | 1–2 | ||
70 | 125–229 | 1–2 | ||
75 | 129–237 | 1–2 | ||
80 | 133–245 | 1–2 |
Speed [KM/H] | Speed [MPH] | Detection distance [m] | Detection distance [ft] | Time to collision [s] |
---|---|---|---|---|
5 | 38–71 | 5–10 | ||
10 | 54–100 | 4–7 | ||
15 | 66–123 | 3–6 | ||
20 | 77–142 | 3–5 | ||
25 | 86–158 | 2–4 | ||
30 | 94–173 | 2–4 | ||
35 | 102–187 | 2–4 | ||
40 | 109–200 | 2–3 | ||
45 | 115–212 | 2–3 | ||
50 | 121–224 | 2–3 | ||
55 | 127–235 | 2–3 | ||
60 | 133–245 | 2–3 | ||
65 | 139–255 | 1–3 | ||
70 | 144–265 | 1–3 | ||
75 | 149–274 | 1–2 | ||
80 | 154–283 | 1–2 |
For a person with SAVT limit of , the looming motion of a directly approaching object of size S, moving at velocity v, is not detectable until its distance D is [129]
In celestial mechanics, an orbit is the curved trajectory of an object such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an object or position in space such as a planet, moon, asteroid, or Lagrange point. Normally, orbit refers to a regularly repeating trajectory, although it may also refer to a non-repeating trajectory. To a close approximation, planets and satellites follow elliptic orbits, with the center of mass being orbited at a focal point of the ellipse, as described by Kepler's laws of planetary motion.
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In astrodynamics or celestial mechanics, a hyperbolic trajectory or hyperbolic orbit is the trajectory of any object around a central body with more than enough speed to escape the central object's gravitational pull. The name derives from the fact that according to Newtonian theory such an orbit has the shape of a hyperbola. In more technical terms this can be expressed by the condition that the orbital eccentricity is greater than one.
In astrodynamics, an orbit equation defines the path of orbiting body around central body relative to , without specifying position as a function of time. Under standard assumptions, a body moving under the influence of a force, directed to a central body, with a magnitude inversely proportional to the square of the distance, has an orbit that is a conic section with the central body located at one of the two foci, or the focus.
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The geometric design of roads is the branch of highway engineering concerned with the positioning of the physical elements of the roadway according to standards and constraints. The basic objectives in geometric design are to optimize efficiency and safety while minimizing cost and environmental damage. Geometric design also affects an emerging fifth objective called "livability", which is defined as designing roads to foster broader community goals, including providing access to employment, schools, businesses and residences, accommodate a range of travel modes such as walking, bicycling, transit, and automobiles, and minimizing fuel use, emissions and environmental damage.
In statistics, the variance function is a smooth function that depicts the variance of a random quantity as a function of its mean. The variance function is a measure of heteroscedasticity and plays a large role in many settings of statistical modelling. It is a main ingredient in the generalized linear model framework and a tool used in non-parametric regression, semiparametric regression and functional data analysis. In parametric modeling, variance functions take on a parametric form and explicitly describe the relationship between the variance and the mean of a random quantity. In a non-parametric setting, the variance function is assumed to be a smooth function.
In fluid dynamics, Green's law, named for 19th-century British mathematician George Green, is a conservation law describing the evolution of non-breaking, surface gravity waves propagating in shallow water of gradually varying depth and width. In its simplest form, for wavefronts and depth contours parallel to each other, it states:
[pg 2-15] 2.6.4 – Speed and Distance Ahead:You should always be able to stop within the distance you can see ahead. Fog, rain, or other conditions may require that you slowdown to be able to stop in the distance you can see. ... [pg 2-19] 2.8.3 – Drivers Who Are Hazards: Vehicles may be partly hidden by blind intersections or alleys. If you only can see the rear or front end of a vehicle but not the driver, then he or she can't see you. Be alert because he/she may back out or enter into your lane. Always be prepared to stop. ... [pg 2-26] 2.11.4 – Vehicle Factors: Headlights. At night your headlights will usually be the main source of light for you to see by and for others to see you. You can't see nearly as much with your headlights as you see in the daytime. With low beams you can see ahead about 250 feet and with high beams about 350-500 feet. You must adjust your speed to keep your stopping distance within your sight distance. This means going slowly enough to be able to stop within the range of your headlights. ... [pg 13-1]13.1.2 – Intersections As you approach an intersection: Check traffic thoroughly in all directions. Decelerate gently. Brake smoothly and, if necessary, change gears. If necessary, come to a complete stop (no coasting) behind any stop signs, signals, sidewalks, or stop lines maintaining a safe gap behind any vehicle in front of you. Your vehicle must not roll forward or backward. When driving through an intersection: Check traffic thoroughly in all directions. Decelerate and yield to any pedestrians and traffic in the intersection. Do not change lanes while proceeding through the intersection. Keep your hands on the wheel.
It is negligence as a matter of law to drive a motor vehicle at such a rate of speed that it cannot be stopped in time to avoid an obstruction discernible within the driver's length of vision ahead of him. This rule is known generally as the 'assured clear distance ahead' rule * * * In application, the rule constantly changes as the motorist proceeds, and is measured at any moment by the distance between the motorist's vehicle and the limit of his vision ahead, or by the distance between the vehicle and any intermediate discernible static or forward-moving object in the street or highway ahead constituting an obstruction in his path. Such rule requires a motorist in the exercise of due care at all times to see, or to know from having seen, that the road is clear or apparently clear and safe for travel, a sufficient distance ahead to make it apparently safe to advance at the speed employed.
The assured clear distance ahead (ACDA) rule holds the operator of a motor vehicle responsible to avoid collision with any obstacle that might appear in the vehicle's path.
the relative risk of an injury crash when travelling at 65 km/h in a 60 km/h speed limit zone is similar to that associated with driving with a blood alcohol concentration of 0.05 g/100mL. By strange coincidence, if the blood alcohol concentration is multiplied by 100, and the resulting number is added to 60 km/h, the risk of involvement in a casualty crash associated with that travelling speed is almost the same as the risk associated with the blood alcohol concentration. Hence, the risk is similar for 0.05 and 65, as noted; for 0.08 and 68; for .12 and 72, and so on...
when an automobile collides with an obstruction on the highway it becomes important to determine whether the driver was exceeding a speed which would have permitted him to stop within his assured clear distance ahead...whenever a driver has collided with a readily discernible object located ahead of him and within his lane of travel for a substantial period of time, he has been held, as a matter of law, to have been negligent. Under such circumstances, the courts have indicated that the fact that a collision occurred furnishes evidence from which reasonable minds could only conclude that the driver was traveling at such a speed that he was unable to stop within the assured clear distance ahead
The challenge to the speed limit was brought by Rudy Stanko, a cattle buyer in Billings who had contested three tickets. "I asked a cop how fast I could go and he never gave me an answer," Mr. Stanko said today. "They said it's up to the discretion of the cop and that ain't right. Let us decide how fast we want to travel." Although the court threw out a speeding ticket Mr. Stanko had received for traveling 102 miles an hour, it upheld two reckless driving counts -- one for traveling 117 m.p.h., the other for 121 m.p.h. Both violations were on two-lane highways as he crested a hill.
Only when the subtended angular velocity of the lead vehicle exceeded about 0.003 rad/s were the subjects able to scale the relative velocity
A number of laboratory researchers have reported values of the looming threshold to be in the range of 0.003 radian/sec. Forensic practitioners routinely use elevated values of the looming threshold, e.g., 0.005-0.008, to account for the complexity of real-world driving tasks. However, only one source has used data from actual vehicle accidents to arrive at a looming threshold – and that value, 0.0275 rad/sec, is an order of magnitude larger than that derived from laboratory studies. In this study, we examine a much broader range of real-world accident data to obtain an estimate of the reasonable upper end of the looming threshold. The results show a range of 0.0397 to 0.0117 rad/sec...
Rule twenty-one. Every steam-vessel, when approaching another vessel, so as to involve risk of collision, shall slacken her speed, or, if necessary, stop and reverse: and every steam-vessel shall, when in a fog, go at a moderate speed
Section 12603, General Code, which was amended at the legislative session of 1929 (113 Ohio Laws, 283), becoming effective July 21, 1929, wherein, for the first time, appears the following: "No person shall drive any motor vehicle in and upon any public road or highway at a greater speed than will permit him to bring it to a stop within the assured clear distance ahead."
I.G.C., § 5029 (1931): any person driving a motor vehicle on a highway shall drive the same at a careful and prudent speed not greater than nor less than is reasonable and proper, having due regard to the traffic, surface and width of the highway, * * * and no person shall drive any vehicle upon a highway at a speed greater than will permit him to bring it to a stop within the assured clear distance ahead.
The word "vessel" includes every description of water-craft or other artificial contrivance used, or capable of being used, as a means of transportation on water.
The word "vehicle" includes every description of carriage or other artificial contrivance used, or capable of being used, as a means of transportation on land.
The courts before and since that time, almost without exception, have insisted that the rules of law applicable to automobile cases, were no different from those which had been developed in the days of the horse and buggy.
every person riding or driving an animal upon a highway has all of the rights and is subject to all of the duties applicable to the driver of a vehicle
The driver of any vehicle approaching any horse drawn vehicle, any ridden animal, or any livestock shall exercise proper control of his vehicle and shall reduce speed or stop as may appear necessary or as may be signalled or otherwise requested by any person driving, riding or in charge of the animal or livestock in order to avoid frightening and to safeguard the animal or livestock and to insure the safety of any person driving or riding the animal or in charge of the livestock.
A person riding a bicycle or operating a pedicab upon a highway has all the rights and is subject to all the provisions applicable to the driver of a vehicle by this division, including, but not limited to, provisions concerning driving under the influence of alcoholic beverages or drugs
Any person driving a motor vehicle on a highway shall drive the same at a careful and prudent speed not greater than nor less than is reasonable and proper, having due regard to the traffic, surface, and width of the highway and of any other conditions then existing, and no person shall drive any vehicle upon a highway at a speed greater than will permit the person to bring it to a stop within the assured clear distance ahead, such driver having the right to assume, however, that all persons using said highway will observe the law.
§ 257.627(1) A person operating a vehicle on a highway shall operate that vehicle at a careful and prudent speed not greater than nor less than is reasonable and proper, having due regard to the traffic, surface, and width of the highway and of any other condition then existing. A person shall not operate a vehicle upon a highway at a speed greater than that which will permit a stop within the assured, clear distance ahead.
§ 4511.21(A)(A) No person shall operate a motor vehicle, trackless trolley, or streetcar at a speed greater or less than is reasonable or proper, having due regard to the traffic, surface, and width of the street or highway and any other conditions, and no person shall drive any motor vehicle, trackless trolley, or streetcar in and upon any street or highway at a greater speed than will permit the person to bring it to a stop within the assured clear distance ahead.
A. Any person driving a vehicle on a highway shall drive the same at a careful and prudent speed not greater than nor less than is reasonable and proper, having due regard to the traffic, surface and width of the highway and any other conditions then existing, and no person shall drive any vehicle upon a highway at a speed greater than will permit the driver to bring it to a stop within the assured clear distance ahead.
No person shall drive a vehicle at a speed greater than is reasonable and prudent under the conditions and having regard to the actual and potential hazards then existing, nor at a speed greater than will permit the driver to bring his vehicle to a stop within the assured clear distance ahead.
An operator shall, if following another vehicle, maintain an assured clear distance between the two vehicles so that, considering the speed of the vehicles, traffic, and the conditions of the highway, the operator can safely stop without colliding with the preceding vehicle or veering into another vehicle, object, or person on or near the highway.
Members of IMO are governed by International Regulations for Preventing Collisions at Sea—Part B, Section I, Rule 6: Safe speed
Excessive speed is a rate of speed greater than is reasonable or prudent without regard for conditions and hazards or greater than will permit a person to bring the boat to a stop within the assured clear distance ahead.
HAR §13-244-7 Careless operation. No person shall operate any vessel in a careless or heedless manner so as to be grossly indifferent to the person or property of other persons, or at a rate of speed greater than will permit that person in the exercise of reasonable care to bring the vessel to a stop within the assured clear distance ahead.
Sec. 5-1. Careless operation. No person shall operate any watercraft in a careless or heedless manner so as to endanger any person or property or at a rate of speed greater than will permit him in the exercise of reasonable care to bring the watercraft to a stop within the assured clear distance ahead.
§ 23-2-523(4): A person may not operate or knowingly permit a person to operate a motorboat or vessel at a rate of speed greater than will permit the person, in the exercise of reasonable care, to bring the vessel to a stop within the assured clear distance ahead. However, nothing in this part is intended to prevent the operator of a vessel actually competing in a regatta that is sanctioned by an appropriate governmental unit from attempting to attain high speeds on a marked racing course.
§ 830.315(2) No person shall operate any boat at a rate of speed greater than will permit that person in the exercise of reasonable care to bring the boat to a stop within the assured clear distance ahead.
Excessive speed is a rate of speed greater than is reasonable or prudent without regard for conditions and hazards or greater than will permit a person to bring the boat to a stop within the assured clear distance ahead.
If something is in your path, you need to see it in time to stop. Assuming you have good tires, good brakes, and dry pavement: At 55 mph, it takes about 400 feet to react and bring the vehicle to a complete stop. At 35 mph, it takes about 210 feet to react and bring the vehicle to a complete stop. Adjust your driving speed to the weather and road conditions (refer to the "Basic Speed Law" in the "Speed Limits" section). Turn on your lights during the day, if it is hard to see or you cannot see at least 1,000 feet ahead of you.
A person may not drive a vehicle upon a highway at a speed greater than will permit them to stop within the assured clear distance ahead
The faster you are moving, the farther ahead you must be able to see to allow enough distance for stopping ... Never drive at a speed at which you cannot stop within the distance you can see on the road ahead
Extreme caution in the operation of a commercial motor vehicle shall be exercised when hazardous conditions, such as those caused by snow, ice, sleet, fog, mist, rain, dust, or smoke, adversely affect visibility or traction. Speed shall be reduced when such conditions exist. If conditions become sufficiently dangerous, the operation of the commercial motor vehicle shall be discontinued and shall not be resumed until the commercial motor vehicle can be safely operated. Whenever compliance with the foregoing provisions of this rule increases hazard to passengers, the commercial motor vehicle may be operated to the nearest point at which the safety of passengers is assured.
The standards of the law are standards of general application. The law takes no account of the infinite varieties of temperament, intellect, and education which make the internal character of a given act so different in different men. ... [Page 122] the averment that the defendant has been guilty of negligence ... that his alleged conduct does not come up to the legal standard. ... the question whether the court or the jury ought to judge of the defendant's conduct is wholly unaffected by the accident, ... it is entirely possible to give a series of hypothetical instructions adapted to every state of facts which it is open to the jury to find. ... the court may still take their opinion as to the standard. ... [page 123] ...supposing a state of facts often repeated in practice, is it to be imagined that the court is to go on leaving the standard to the jury forever? ... if the jury is, on the whole, as fair a tribunal as it is represented to be, the lesson which can be got from that source will be learned.... the court will find ... the conduct complained of usually is or is not blameworthy, ... or it will find the jury oscillating to and fro, and will see the necessity of making up its mind for itself. There is no reason why any other such question should not be settled, as well as that of liability for stairs with smooth strips of brass upon their edges.
When, in the near future, a driverless car gets into an accident with another driverless car, it's going to be difficult to establish who is at fault. Is it the "driver," the car company, or even the programmer? ... "There's going to have to be some changes to the laws," David Strickland, former head of the National Highway Traffic Safety Administration, told Bloomberg. "There is no such thing right now that says the manufacturer of the automated system is financially responsible for crashes."
Streets comprise more than 80% of public space in cities, but they often fail to provide their surrounding communities with a space where people can safely walk, bicycle, drive, take transit, and socialize. Cities are leading the movement to redesign and reinvest in our streets as cherished public spaces for people, as well as critical arteries for traffic.
In an effort to support the construction of more multimodal local streets and roads, Caltrans today endorsed National Association of City Transportation Officials' (NACTO) guidelines that include innovations such as buffered bike lanes and improved pedestrian walkways.
The U.S. transportation system has been shaped by multiple policy inputs and concrete actions which have arisen from transportation and community planners, funding agencies and others at Federal, state and local levels. Today, the system is designed to move people and goods efficiently; however, there is a growing awareness across communities that transportation systems impact quality of life and health.
Historically, transportation planners have overlooked the important role streets play in shaping neighborhoods. For decades, decisions about street size and design in many communities have focused on getting as many cars as possible through the streets as quickly as possible. Street design determines whether an area will be safe and inviting for pedestrians, bicyclists, and transit users, which affects the viability of certain types of retail, influences land values and tax receipts, and shapes overall economic strength and resilience.
People want more transportation choices, whether it's to save money on gas, to get into shape by walking or biking to their destinations, or to have a more relaxing commute. Communities can provide these choices by making it easy for residents and visitors to drive, walk, bike, or take transit.
our auto-centric transportation system -- built for the previous century -- is increasing pollution and the nation's addiction to oil. After 50 plus years of building sprawl-spurring highways, experience shows that we cannot pave our way out of gridlock; instead, new road capacity is quickly filled up and the fiscal burden of its upkeep puts us back at square one. It is time to revamp America's ailing road and rail networks to create a competitive, 21st century solution.
Universal access is the goal of enabling all citizens to reach every destination served by their public street and pathway system. Universal access is not limited to access by persons using automobiles. Travel by bicycle, walking, or wheelchair to every destination is accommodated in order to achieve transportation equity, maximize independence, and improve community livability.
There must be some way to show clients you have won a lot of high-worth cases. How about an Audi A8, a Mercedes S-500, or a Lexus LS? Nope. Every lawyer has one of those. You need a car that shows that you are in a much higher tax bracket. You need a car that is worth more than your clients' homes. And they need to know it. Because when you hire "The Champ" (presumably the nickname you gave yourself), the client needs to know they will win their case and you will get a very nice contingency fee out of this one.
The transportation sector is heavily involved in lobbying at the federal level, and expenditures have eclipsed $240 million each year from 2008 to 2012. ... two of the sector's most active lobbying clients, have attempted to influence legislation relating to transportation safety and security, travel taxes, and the authorization of federal funds for roads and railways.
The attempt of this conference was to reduce road accidents among the states, and to this end an exhaustive study of road conditions and accidents was made. The need for such uniformity is obvious when we consider that the late 1920s the major part of the traffic regulation was by municipalities; it had mainly been enacted ten to fifteen years before and hence left out of account the vast increase in number, speed, and use of automobiles. Each town and city had a different set of rules, confusing the motorist on tour. This dangerous chaos has been largely obviated by the substantial enactment in most states of the Uniform Act...
blue states tend to adopt stronger safety laws, while red states opt for looser regulation
speed limit reduction and road edge clearance are both powerful mitigation tools to reduce the number of Deer–vehicle collisions.
Almost one of every three traffic fatalities is related to speeding, and speeding is a safety concern on all roads, regardless of their speed limits. However, much of the public concern about speeding has been focused on high-speed Interstates. The Interstate System actually has the best safety record of all roads and the lowest fatality rate per mile traveled. ... The difference in fatality rates by road classification reflects the difference in road design and use. The Interstate System is designed for high speeds, efficient movement of people and goods over long distances, with no at-grade intersections. Drivers have a clear view of the road, traffic, and signs. Collectors and local roads, however, are designed to provide more land access and lesser mobility. They may have sharp curves, steeper grades, and sight restrictions. The local road may also be shared by a high concentration of children and adult pedestrians, bicyclists, and an older user population.
AAA's test results suggest that halogen headlights, found in over 80 percent of vehicles on the road today, may fail to safely illuminate unlit roadways at speeds as low as 40 mph. ...high-beam settings on halogen headlights...may only provide enough light to safely stop at speeds of up to 48 mph, leaving drivers vulnerable at highway speeds...Additional testing found that while the advanced headlight technology found in HID and LED headlights illuminated dark roadways 25 percent further than their halogen counter parts, they still may fail to fully illuminate roadways at speeds greater than 45 mph. High-beam settings on these advanced headlights offered significant improvement over low-beam settings, lighting distances of up to 500 feet (equal to 55 mph). Despite the increase, even the most advanced headlights fall 60 percent short of the sight distance that the full light of day provides.
The passenger vehicle occupant fatality rate at nighttime is about three times higher than the daytime rate. ...The data shows a higher percentage of passenger vehicle occupants killed in speeding-related crashes at nighttime.
Displacement thresholds for peripheral motion were affected by acuity limits for speeds below 0.5 degrees/s. [0.0087 radians/s]
"Crosswalk" is...That portion of a roadway included within the prolongation or connection of the boundary lines of sidewalks at intersections where the intersecting roadways meet at approximately right angles, except the prolongation of such lines from an alley across a street.
The driver of a vehicle shall yield the right-of-way to a pedestrian crossing the roadway within any marked crosswalk or within any unmarked crosswalk at an intersection, except as otherwise provided in this chapter. ... The driver of a vehicle approaching a pedestrian within any marked or unmarked crosswalk shall exercise all due care and shall reduce the speed of the vehicle or take any other action relating to the operation of the vehicle as necessary to safeguard the safety of the pedestrian.
A "bicycle path crossing" is ...That portion of a roadway included within the prolongation or connection of the boundary lines of a bike path at intersections where the intersecting roadways meet at approximately right angles.
In the United States, motor vehicle accidents are the leading cause of death for people between the ages of 1 and 38 and are responsible for more deaths than all other causes combined between the ages of 15 and 24 ... the difficulty of estimating distance and velocity is assumed to account for the frequency of accidents involving a vehicle turning left in the face of oncoming traffic. ... many laws require operators of vehicles to accomplish tasks that are not within their capabilities. This leads to unnecessary litigation and appellate reviews and creates a disrespect for laws. If statutes such as the Assured Clear Distance Ahead rule and regulations governing the use of alcohol were examined in relation to the behavioral sciences literature on human capabilities and limitations while operating a vehicle, the findings could lead to more rational laws and codes ... In stark contrast with automobile travel, commercial aviation is the safest form of mass transportation.
Displacement thresholds for peripheral motion were affected by acuity limits for speeds below 0.5 degrees/s.
When an observer moves forward in the environment, the image on his or her retina expands. The rate of this expansion conveys information about the observer's speed and the time to collision...this rate might also be estimated from changes in the size (or scale) of image features...we show,...observers can estimate expansion rates from scale-change information alone, and that pure scale changes can produce motion after-effects. These two findings suggest that the visual system contains mechanisms that are explicitly sensitive to changes in scale.
[pg 2-19] 2.6.4 – Speed and Distance Ahead[:] You should always be able to stop within the distance you can see ahead. Fog, rain, or other conditions may require that you slow down to be able to stop in the distance you can see. ... [pg 13-2]13.1.2 – Intersections As you approach an intersection: • Check traffic thoroughly in all directions. • Decelerate gently. • Brake smoothly and, if necessary, change gears. • If necessary, come to a complete stop (no coasting) behind any stop signs, signals, sidewalks, or stop lines maintaining a safe gap behind any vehicle in front of you. • Your vehicle must not roll forward or backward. Note: Do not enter the intersection if there is insufficient space to clear it. When driving through an intersection: •Check traffic thoroughly in all directions. •Decelerate and yield to any pedestrians and traffic in the intersection. •Do not change lanes while proceeding through the intersection. •Keep your hands on the wheel.
The MUTCD approved by the Federal Highway Administrator is the national standard for all traffic control devices installed on any street, highway, or bicycle trail open to public travel in accordance with 23 U.S.C. 109(d) and 402(a)...Where State or other Federal agency MUTCDs or supplements are required, they shall be in substantial conformance with the National MUTCD.
Chapter 3B.16.10: If used, stop and yield lines should be placed a minimum of 4 feet in advance of the nearest crosswalk line at controlled intersections...In the absence of a marked crosswalk, the stop line or yield line should be placed at the desired stopping or yielding point, but should not be placed more than 30 feet or less than 4 feet from the nearest edge of the intersecting traveled way.
Chapter 405.1: Set back for the driver of the vehicle on the crossroad shall be a minimum of 10 feet plus the shoulder width of the major road but not less than 15 feet.
Where an obstruction, which cannot be removed except at prohibitive cost, fixes the vertices of the sight triangle at points that are less than the safe stopping distances from the intersection, vehicles may be brought to a stop (after sighting other vehicles on the intersecting road) only if they are traveling at a speed appropriate to the available sight distance.
One of the most significant uses of 3-D scanning in the years to come will not be by humans at all but by autonomous vehicles.
Google's fleet of autonomous test cars is programmed to follow the letter of the law. But it can be tough to get around if you are a stickler for the rules. ... One Google car, in a test in 2009, couldn't get through a four-way stop because its sensors kept waiting for other (human) drivers to stop completely and let it go. The human drivers kept inching forward, looking for the advantage—paralyzing Google's robot. ... "It's always going to follow the rules, I mean, almost to a point where human drivers who get in the car and are like 'Why is the car doing that?'" said Tom Supple, a Google safety driver during a recent test drive on the streets near Google's Silicon Valley headquarters. ...the technology, like Google's car, drives by the book. It leaves what is considered the safe distance between itself and the car ahead. ...Dmitri Dolgov, head of software for Google's Self-Driving Car Project, said that one thing he had learned from the project was that human drivers needed to be "less idiotic." ... The laser system mounted on top of the driverless car sensed that a vehicle coming the other direction was approaching the red light at higher-than-safe speeds. The Google car immediately jerked to the right in case it had to avoid a collision.
See 4th grade math level
Perception-response (PR) time, the time from the first sighting of an obstacle until the driver applies the brakes, is an important component of stopping sight distance. ... The results indicate a 95th percentile PR time of about 1.6 s for both age groups.
Operating speed - the speeds at which vehicles are observed operating during free flow conditions. Free flow speeds are those observed from vehicles whose operations are unimpeded by traffic control devices (e.g., traffic signals) or by other vehicles in the traffic stream. The 85th percentile of the distribution of observed speeds is the most frequently used measure of the operating speed.
[Page 21] Sect.1A.13 —214. Speed—speed is defined based on the following classifications: (a) Average Speed—the summation of the instantaneous or spot-measured speeds at a specific location of vehicles divided by the number of vehicles observed. (b) Design Speed—a selected speed used to determine the various geometric design features of a roadway. (c) 85th-Percentile Speed—the speed at or below which 85 percent of the motor vehicles travel. (d) Operating Speed—a speed at which a typical vehicle or the overall traffic operates. Operating speed might be defined with speed values such as the average, pace, or 85th-percentile speeds. (e) Pace—the 10 mph speed range representing the speeds of the largest percentage of vehicles in the traffic stream. [page 58] Section 2B.13 Speed Limit Sign (R2-1) Standard: 01 Speed zones (other than statutory speed limits) shall only be established on the basis of an engineering study that has been performed in accordance with traffic engineering practices. The engineering study shall include an analysis of the current speed distribution of free-flowing vehicles. ...12 When a speed limit within a speed zone is posted, it should be within 5 mph of the 85th-percentile speed of free-flowing traffic
the probable cause of the accident was "stupid driving". ... "It's really bad to travel too close to the car in front in good conditions and if you do it in foggy conditions it's an absolute recipe for disaster."
a substantial majority of drivers, up to 80%, would rate themselves above average on a number of important characteristics
Inferred design speed – the maximum speed for which all critical design-speed-related criteria are met at a particular location.
the speed limit for vehicles traveling...on any other public highway of this state is 70 miles an hour during the daytime and 65 miles an hour during the nighttime...Subject to the maximum speed limits set forth [above] a person shall operate a vehicle in a careful and prudent manner and at a reduced rate of speed no greater than is reasonable and prudent under the conditions existing at the point of operation, taking into account the amount and character of traffic, visibility, weather, and roadway conditions.
For the breach of an obligation not arising from contract, the measure of damages, except where otherwise expressly provided by this Code, is the amount which will compensate for all the detriment proximately caused thereby, whether it could have been anticipated or not.
motor vehicle crashes in 2013 were the leading cause of death for children age 4 and every age from 16 to 24. ... In 2013, there were 32,719 people killed in the estimated 5,687,000 police-reported motor vehicle traffic crashes; an estimated 2,313,000 people were injured; and an estimated 4,066,000 crashes resulted in property damage only. An average of 90 people died each day in motor vehicle crashes in 2013, one fatality every 16 minutes. ... The estimated economic cost of all motor vehicle traffic crashes in the United States in 2010 (the most recent year for which cost data is available) was $242 billion. ... When quality of life valuations are considered, the total value of societal harm from motor vehicle crashes in the United States in 2010 was an estimated $836 billion. ... Speeding is one of the most prevalent factors contributing to traffic crashes.
Since 1980 the average horsepower of U.S. cars more than doubled, and speed limits have risen significantly, greatly increasing the potential for damage, loss of life and injuries. ... "One might argue that transportation equipment, and in particular the motor vehicle, must be the most dangerous machines that we interact with on a daily basis," the researcher states. "The annual toll in motor vehicle crashes exceeds the deaths resulting from the next most dangerous mechanical device, firearms, by about 40%."
for every accident that causes a major injury, there are 29 accidents that cause minor injuries and 300 accidents that cause no injuries
The Environmental Protection Agency set the value of a life at $9.1 million...
when the U.S. government permitted states to raise the speed limit from 55 to 65 miles per hour, many states did so, and drivers saved time by driving about two miles per hour faster on average. However, fatality rates rose by about one-third. Overall, people in the United States saved about 125,000 hours of driving [or about $1.5 million] per lost life. ... researchers have reached a consensus that $1.5 million is much too low [to trade-off for a life]. ... The Environmental Protection Agency set the value of a human life at $9.1 million. Meanwhile, the Food and Drug Administration put it at $7.9 million...
The U.S. DOT connected vehicle research program is a multimodal initiative that aims to enable safe, interoperable networked wireless communications among vehicles, infrastructure, and personal communications devices.
The use of warning signs should be kept to a minimum as the unnecessary use of warning signs tends to breed disrespect for all signs.(2C.02.02)...Vehicular Traffic Warning signs should be used only at locations where the road user's sight distance is restricted, or the condition, activity, or entering traffic would be unexpected.(2C.49.03)
Montana had the highest fatality rate per 100 million VMT (1.90) in the United States, while Massachusetts and the District of Columbia had the lowest (0.58 and 0.57) in 2013.
The fatality rate per 100,000 people ranged from a low of 3.1 in the District of Columbia to a high of 22.6 in Montana. The death rates per 100 million vehicle miles traveled ranged from 0.56 in the District of Columbia to 1.96 in Montana.
We have a criminal jury system which is superior to any other in the world; and its efficiency is only marred by the difficulty of finding twelve every day men who don't know anything and can't read.
people have erroneous intuitions about the laws of chance. In particular, they regard a sample randomly drawn from a population as highly representative, I.e., similar to the population in all essential characteristics.
See Figure 5.2 (Chapter 5, page 47)
the city took a look at the speed limit after Kelly, with support from the Automobile Club of Southern California, presented a detailed breakdown of why he feels the survey was incorrect.
Perception-reaction time increased significantly from 0.32 to 0.42 s (P<.05) as uncertainty increased but brake-movement time did not change. Perception-reaction time increased (from 0.35 to 0.43 s) with age but brake-movement time did not change with age. Gender did not affect perception-reaction time but did affect brake-movement time (males 0.19 s vs. females 0.16 s).
Based on the time and distance measurements for the 219 trucks, calculated average accelerations were 0.085, 0.106, and 0.138 g's over the first 50 ft for the flatbed, box, and bobtail configurations, respectively.
a bicyclist riding a bicycle 6 feet long to clear the last conflicting lane at a speed of 14.7 feet/sec
as the width of the lane increased, the speed of the roadway increased
309.1 Horizontal Clearances for Highways: The horizontal clearance to all roadside objects should be based on engineering judgment with the objective of maximizing the distance between roadside objects and the edge of traveled way.
Set back for the driver of the vehicle on the crossroad shall be a minimum of 10 feet plus the shoulder width of the major road but not less than 15 feet.
The data show that drivers do not reliably respond to looming until it reaches .02 rad/sec