In an auto accident, a car hit a pedestrian and the driver then slammed on the b

Question

In an auto accident, a car hit a pedestrian and the driver then slammed on the brakes to stop the car. During the subsequent trial, the driver's lawyer claimed that the driver was obeying the posted 35.0{ m mph} speed limit, but that the limit was too high to enable him to see and react to the pedestrian in time. You have been called as the state's expert witness. In your investigation of the accident site, you make the following measurements: The skid marks made while the brakes were applied were 290{ m ft} long, and the tread on the tires produced a coefficient of kinetic friction of 0.300 with the road. A) In your testimony in court, will you say that the driver was obeying the posted speed limit? B) If the driver's speeding ticket is $10 for each mile per hour he was driving above the posted speed limit, would he have to pay a ticket, and if so, how much would it be?

Explanation / Answer

Given Distance the brakes were applied is ,s = 325 ft = 99.06 m coefficient of kinetic friction , = 0.300 Acceleration of the car is , a = -g    = - 0.3 *9.8 m/s^2 = - 2.94 m/s^2 The speed of the car is v^2 -vi^2 = 2 as 0 -vi^2 = 2* (-2.94 m/s^2) *(99.06 m) vi = 24.13 m/s ˜ 54 mph But the driver claimed a speed limit of 35mph = 15.65 m/s which is false -------------------------------------------------------------- The speed limit is 35 mph , but the driver is riding at a speed of 54 mph that is increase of 19mph If for 1mph the speeding ticket is 10$, then for 19mph it costs 190$

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