Suppose a car is traveling at +22.0 m/s, and the driver sees a traffic light turn red. After 0.560 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 4.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?

Answer 1

Given:
v = 22.0m/s
a = -4.00m/s²
Use the equations:
(1) 0 = v + a t
(2) s = v t + a t²/2
Solve (1) for t.
Substitute to solve (2) for s.