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Braking distance

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empirically obtain the coefficient of friction between the tire material and the exact road spot under the same road conditions and temperature. They would also measure the person's perception and reaction times. A driver who has innate reflexes, and thus braking distances, that are far below the safety margins provided in the
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The coefficient of friction is the ratio of the force necessary to move one body horizontally over another at a constant speed to the weight of the body. For a 10 ton truck, the force necessary to lock the brakes could be 7 tons, which is enough force to destroy the brake mechanism itself. While some
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the rule of thumb for the stopping distance in a city in good conditions is the 1-second rule, i.e. the distance covered in 1 second should at most be the distance to the vehicle ahead. At 50 km/h this corresponds to about 15 m. For higher speeds up to about 100 km/h outside built-up
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The actual total stopping distance may differ from the baseline value when the road or tire conditions are substantially different from the baseline conditions, or when the driver's cognitive function is superior or deficient. To determine actual total stopping distance, one would typically
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areas, a similarly defined 2-second rule applies, which for 100 km/h translates to about 50 m. For speeds on the order of 100 km/h there is also the more or less equivalent rule that the stopping distance be the speed divided by 2 k/h, referred to as
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is used in stopping distance charts. These values incorporate the ability of the vast majority of drivers under normal road conditions. However, a keen and alert driver may have perception-reaction times well below 1 second, and a modern car with
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to simulate the elderly or neophyte; or even a 2.5 second reaction time—to specifically accommodate very elderly, debilitated, intoxicated, or distracted drivers. The coefficient of friction may be 0.25 or lower on wet or frozen asphalt, and
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and season specific performance tires may somewhat compensate for driver error and conditions. In legal contexts, conservative values suggestive of greater minimum stopping distances are often used as to be sure to exceed the pertinent
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with the deficient driver in mind, and often used a defunct 3/4 second reaction time standard. There have been recent road standard changes to make modern roadways more accessible to an increasingly aging population of drivers.
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As speed increases, the braking distance is initially far less than the perception-reaction distance, but later it equals then rapidly exceeds it after 30 MPH for 1 second p-t times (46 MPH for 1.5s p-t times):
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Experts historically used a reaction time of 0.75 seconds, but now incorporate perception resulting in an average perception-reaction time of: 1 second for population as an average; occasionally a
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Simple reaction time shortens from infancy into the late 20s, then increases slowly until the 50s and 60s, and then lengthens faster as the person gets into his 70s and beyond
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depends on whether the wheels are locked or rolling during the braking, and a few more parameters such as rubber temperature (increases during the braking) and speed.
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Fricke, L. (1990). "Traffic Accident Reconstruction: Volume 2 of the Traffic Accident Investigation Manual". The Traffic Institute, Northwestern University.
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or "assured clear distance ahead" rule requires a driver to keep his vehicle under control so that he can stop in the distance in which he can see clearly
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revised braking distance portion of equation now based on deceleration ( a ) rather than friction factor ( f ) upon recommendation of NCHRP Report 400
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Der, G.; Deary, I. J. (2006). "Age and sex differences in reaction time in adulthood: Results from the United Kingdom health and lifestyle survey".
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C. C. Marvel (2012). "Admissibility of experimental evidence, skidding tests, or the like, relating to speed or control of motor vehicle".
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E. Campion (2008). "Admissibility in evidence, in automobile negligence action, of charts showing braking distance, reaction times, etc.".
2495: 2263: 210:. The other component is the reaction distance, which is the product of the speed and the perception-reaction time of the driver/rider. A 2434:
B. Finberg (2010). "Judicial notice of drivers' reaction time and of stopping distance of motor vehicles traveling at various speeds".
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are fully applied to when it comes to a complete stop. It is primarily affected by the original speed of the vehicle and the
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Wade R. Habeeb (2008). "Negligence of driver of motor vehicle as respects manner of timely application of proper brakes".
2465:. Vol. 29. The Lawyers Co-operative Publishing Company; Bancroft-Whitney; West Group Annotation Company. p. 248. 2456:. Vol. 78. The Lawyers Co-operative Publishing Company; Bancroft-Whitney; West Group Annotation Company. p. 218. 2438:. Vol. 84. The Lawyers Co-operative Publishing Company; Bancroft-Whitney; West Group Annotation Company. p. 979. 2019: 1724: 2447:. Vol. 9. The Lawyers Co-operative Publishing Company; Bancroft-Whitney; West Group Annotation Company. p. 976. 2474:. Vol. 72. The Lawyers Co-operative Publishing Company; Bancroft-Whitney; West Group Annotation Company. p. 6. 1578: 242: 81: 1804: 1427:
Example: velocity = 50 MPH. stopping distance = 5 squared = 25, add a zero = 250, divide by 2 = 125, sum 2*50 = 225
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in 1998 found that most people can perceive and react to an unexpected roadway condition in 2 seconds or less.
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Jevas, S; Yan, J. H. (2001). "The effect of aging on cognitive function: a preliminary quantitative review".
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Jerre E. Box (2009). "Opinion testimony as to speed of motor vehicle based on skid marks and other facts".
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after extended use, or recover more quickly after water immersion, all should be capable of wheel lock.
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The total stopping distance is the sum of the perception-reaction distance and the braking distance.
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The braking distance (which is commonly measured as the skid length) given an initial driving speed
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take the first digit of the velocity, and square it. Add a zero to the result, then divide by 2.
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An investigation of the utility and accuracy of the table of speed and stopping distances
1545:, the typical total stopping distances (thinking distance plus braking distance) used in 1413: 959: 287: 283: 17: 2389: 1686: 2514: 2278: 2176: 1409: 250: 246: 697: 258: 238: 192: 1711: 1099: 1446: 1428: 37: 2109:. Vol. 6th Ed. California Department of Transportation. 2012. p. 200. 2104: 2035: 2341: 1699: 1262:{\displaystyle D_{total}=D_{p-r}+D_{braking}=vt_{p-r}+{\frac {v^{2}}{2\mu g}}} 1992: 2257:
Frictional Coefficients for some Common Materials and Materials Combinations
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American Association of State Highway and Transportation Officials (1994)
1067:{\displaystyle d_{f}={\frac {-v_{i}^{2}}{2a}}={\frac {v_{i}^{2}}{2\mu g}}} 1335: 215: 2070:. Transportation Research Board (National Academy Press). p. I-13. 1435: 218:
of 0.7 are standard for the purpose of determining a bare baseline for
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Graphs are unavailable due to technical issues. There is more info on
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refers to the distance a vehicle will travel from the point when its
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visibility standard that provides motorists driving at or below the
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The theoretical braking distance can be found by determining the
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typically uses 1.5 seconds to calculate perception-reaction time
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The braking distance is one of two principal components of the
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The average friction coefficient (µ) is related to the tire's
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NCHRP Report 400: Determination of Stopping Sight Distances
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Virginia Commonwealth University’s Crash Investigation Team
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country, the stopping distance in feet given a velocity in
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Traffic Accident Reconstruction Volume 2, Lynn B. Fricke
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Permitted by good tires and clean, dry, level, pavement.
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For rubber tyres on cars, the coefficient of friction (
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National Cooperative Highway Research Program (1997).
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brake types on lightweight vehicles are more prone to
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sum the previous result to the double of the velocity.
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The maximum speed given an available braking distance
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to stop under a worst likely case scenario: typically
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A Policy on Geometric Design of Highways and Streets
62:. Unsourced material may be challenged and removed. 2154: 2152: 1905: 1857: 1793: 1677: 1531: 1338:of 0.9--or even far exceed 1.0 with sticky tires. 1318: 1261: 1066: 968: 945: 896: 799: 727: 685: 628: 598: 553: 501: 403: 340: 2177:Tire friction and rolling resistance coefficients 1917:nature of the kinetic energy increase versus the 249:distance that would be required by a slightly or 1858:{\displaystyle vt_{p-r}={\frac {v^{2}}{2\mu g}}} 1384:, may not be safe to drive. Most old roads were 2366:. Publication Number: FHWA-RD-01-103. May 2001. 976:into the equation yields the braking distance: 2290:Warning Signs and Knowing When to Stop Driving 2007:National Highway Traffic Safety Administration 1678:{\displaystyle \mu ={\frac {2.25}{TW^{0.15}}}} 8: 2472:American Law Reports--Annotated, 2nd Series 2463:American Law Reports--Annotated, 3rd Series 2454:American Law Reports--Annotated, 2nd Series 2445:American Law Reports--Annotated, 3rd Series 2436:American Law Reports--Annotated, 2nd Series 2261:Reference Tables -- Coefficient of Friction 1977:"Brake Reaction Times of Unalerted Drivers" 2030: 2028: 565: 2310:Research Quarterly for Exercise and Sport 1970: 1968: 1891: 1870: 1836: 1830: 1815: 1806: 1767: 1748: 1742: 1666: 1653: 1645: 1523: 1457: 1283: 1277: 1240: 1234: 1219: 1185: 1166: 1141: 1135: 1045: 1040: 1034: 1014: 1009: 999: 990: 984: 961: 931: 918: 912: 877: 872: 859: 854: 847: 838: 825: 819: 788: 775: 762: 749: 743: 708: 650: 644: 621: 582: 535: 527: 502:{\displaystyle d={\frac {v^{2}}{2\mu g}}} 480: 474: 466: 381: 332: 315: 307: 122:Learn how and when to remove this message 2036:"Tables of speed and stopping distances" 800:{\displaystyle d_{f}(d_{i},v_{i},v_{f})} 423:between the road surface and the tires, 133: 1932: 1629: 27:Physics concept relating to automobiles 2496:Tables of speed and stopping distances 2139:"A Literature Review on Reaction Time" 2113:Chapter 200 on Stopping Sight Distance 1954: 1943: 1116:Tables of speed and stopping distances 364:is the speed at the start of braking. 341:{\displaystyle E={\frac {1}{2}}mv^{2}} 2379:"Tire-pavement friction coefficients" 2137:Robert J. Kosinski (September 2012). 1319:{\displaystyle t_{p-r}=1.5s,\mu =0.7} 7: 2386:Defense Technical Information Center 2141:. Clemson University. Archived from 286:required to dissipate the vehicle's 60:adding citations to reliable sources 1794:{\displaystyle D_{p-r}=D_{braking}} 566:Newton's law and equation of motion 554:{\displaystyle v={\sqrt {2\mu gd}}} 243:assured clear distance ahead (ACDA) 809:formulas for constant acceleration 25: 1619:Vehicular accident reconstruction 1568:70 mph: 315 feet (96 metres) 1565:60 mph: 240 feet (73 metres) 1562:50 mph: 175 feet (53 metres) 1559:40 mph: 118 feet (36 metres) 1416:can be approximated as follows: 686:{\displaystyle F_{frict}=-\mu mg} 2486:Car Stopping Distance Calculator 1556:30 mph: 75 feet (23 metres) 1553:20 mph: 40 feet (12 metres) 1089: 36: 2117:Chapter 405.1 on Sight Distance 1975:Taoka, George T. (March 1989). 1906:{\displaystyle v=2\mu gt_{p-r}} 216:coefficient of kinetic friction 195:, and negligibly by the tires' 47:needs additional citations for 1921:effect of a constant p-r time. 1520: 1495: 1483: 1459: 1371:Actual total stopping distance 794: 755: 1: 2506:The Highway Code (in English) 1725:Transportation Research Board 946:{\displaystyle d_{i},v_{f}=0} 458:, from which it follows that 373:done by braking is given by: 2526:Vehicle braking technologies 1579:Assured clear distance ahead 696:Equating the two yields the 2491:Braking Distance Calculator 2415:"Typical stopping distance" 2164:September 27, 2012, at the 1640:by the following formula: 1549:are quoted in Rule 126 as: 1272:A common baseline value of 439:is the distance travelled. 2542: 2230:Robert Bosch GmbH (1996). 2190:: sticky tires exceed 1.0 358:is the vehicle's mass and 2501:Wikibooks: Sight Distance 2342:10.1037/0882-7974.21.1.62 2206:Theory of ground vehicles 1723:A study conducted by the 1687:HPwizard on Tire Friction 609:For a level surface, the 448:is then found by putting 404:{\displaystyle W=\mu mgd} 299:is given by the formula: 269:for not stopping sooner. 140:Vehicle Stopping Distance 2038:. The State of Virginia. 728:{\displaystyle a=-\mu g} 212:perception-reaction time 1604:Stopping sight distance 1382:expected by other users 1365:beyond reasonable doubt 1078:Total stopping distance 615:coefficient of friction 421:coefficient of friction 251:nearly negligent driver 231:stopping sight distance 220:accident reconstruction 208:total stopping distance 185:coefficient of friction 171:Truck Stopping Distance 151:Distance - (3/4) second 18:Total stopping distance 1953:Cite journal requires 1907: 1859: 1795: 1679: 1533: 1357:more probable than not 1320: 1263: 1068: 970: 947: 898: 801: 729: 687: 630: 600: 555: 503: 405: 342: 214:of 1.5 seconds, and a 173: 2106:Highway Design Manual 1913:. This is due to the 1908: 1860: 1796: 1680: 1534: 1363:, and 2.5 seconds is 1353:legal burden of proof 1321: 1264: 1069: 971: 948: 899: 802: 730: 688: 631: 601: 556: 504: 406: 343: 137: 2330:Psychology and Aging 1869: 1805: 1741: 1644: 1456: 1361:clear and convincing 1336:friction coefficient 1276: 1134: 983: 960: 911: 818: 742: 707: 643: 629:{\displaystyle \mu } 620: 599:{\displaystyle F=ma} 581: 526: 465: 380: 306: 56:improve this article 2233:Automotive Handbook 1712:THE 2001 GREEN BOOK 1050: 1019: 882: 864: 572:Newton's second law 293:The kinetic energy 255:slippery conditions 2295:2008-05-27 at the 2266:2009-03-08 at the 2203:J.Y. Wong (1993). 1903: 1855: 1791: 1675: 1594:Following distance 1529: 1316: 1259: 1064: 1036: 1005: 966: 943: 894: 868: 850: 797: 725: 683: 626: 596: 551: 499: 401: 338: 233:. The latter is a 197:rolling resistance 174: 71:"Braking distance" 2279:Tire Test Results 1865:. Solving for v, 1853: 1673: 1609:Threshold braking 1359:, 1.5 seconds is 1257: 1111: 1110: 1062: 1029: 969:{\displaystyle a} 892: 549: 497: 323: 161:Stopping Distance 159:Passenger vehicle 132: 131: 124: 106: 16:(Redirected from 2533: 2475: 2466: 2457: 2448: 2439: 2422: 2421: 2419: 2411: 2405: 2404: 2402: 2400: 2395:on June 14, 2015 2394: 2383: 2374: 2368: 2367: 2360: 2354: 2353: 2325: 2319: 2317: 2305: 2299: 2287: 2281: 2276: 2270: 2254: 2248: 2247: 2227: 2221: 2220: 2200: 2191: 2185: 2179: 2174: 2168: 2156: 2147: 2146: 2134: 2128: 2125: 2119: 2110: 2101: 2095: 2088: 2082: 2081: 2069: 2058: 2052: 2046: 2040: 2039: 2032: 2023: 2016: 2010: 2003: 1997: 1996: 1972: 1963: 1962: 1956: 1951: 1949: 1941: 1937: 1922: 1912: 1910: 1909: 1904: 1902: 1901: 1864: 1862: 1861: 1856: 1854: 1852: 1841: 1840: 1831: 1826: 1825: 1800: 1798: 1797: 1792: 1790: 1789: 1759: 1758: 1734: 1728: 1721: 1715: 1709: 1703: 1695: 1689: 1684: 1682: 1681: 1676: 1674: 1672: 1671: 1670: 1654: 1638:Treadwear rating 1634: 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Index

Total stopping distance

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Reaction Time
Passenger vehicle
Heavy
brakes
coefficient of friction
tires
road surface
rolling resistance
air drag
total stopping distance
perception-reaction time
coefficient of kinetic friction
accident reconstruction
judicial notice
stopping sight distance
road alignment
design speed

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