A police driving test concluded that a certain female driver had a reaction time of 0.5s. If her car had a maximum deceleration of 5.00ms^-2, what is the least distance in which she can bring the car to a rest from a speed of 10ms^-1?
clearly the minimum deceleration time is (10m/s) / (5m/s^2) = 2 seconds
the distance traveled is thus
s(t) = 0.5*10 + 10*2 - 2.5*2^2 = 15m