A driver of a car going 95 km/h suddenly sees the lights of a barrier ahead. It takes the driver 0.55 s before he applies the brakes (this is known as reaction time). Once he does begin to brake, he accelerates at a rate of -10.0 m/s²

Question

a.) How far did the driver travel during reaction time?
b.) How far has the driver traveled once the car comes to a complete stop?
c.) f the barrier is 40 meters away , does the driver have enough time to come to a complete stop?

Answer 1

95 km/hr = 26.39 m/s
a) s = vt = 26.39 m/s * 0.55s = 14.51 m
b) 26.39/10 = 2.64 s stopping time, so
s = 14.51 + 26.29 * 2.64 - 5*2.64^2 = 49.07 m
c) nope
well, technically, yes, since he will come to an abrupt stop at the barrier!

Answer 2

thanks!