You are driving at the speed of 33.4 m/s

(74.7296 mph) when suddenly the car in
front of you (previously traveling at the same speed) brakes. Considering an average human reaction, you press your brakes 0.484 s later. Assume that the brakes on both cars are fully
engaged and that the coefficient of friction is 0.92 between both cars and the road. The acceleration of gravity is 9.8 m/s2 .
a) Calculate the braking distance for the car in front of you.
b) Find the minimum safe distance at which you can follow the car in front of you and avoid hitting it (in the case of emergency braking described here).

1 answer

The braking time is Vo/a, where a is the the deceleration rate I have already provided in a previous post.

The braking distance is Vo^2/(2a)

Write equations for position vs time for both cars, with following distance as an variable. Solve for the following distance that just avoids collision.
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