Question

1. You are driving on a country road at a constant speed v0, which is above the speed limit. You pass a policeman behind a billboard. He turns on his lights and siren, which takes a time T, then accelerates toward you with constant acceleration a. How far beyond the billboard are you when the policeman catches up with you?
2. This police car cannot travel at a speed greater than twice yours, that is, 2v0. Under what condition will that make any difference to the solution in part a? When it does make a difference, where are you when he catches up with you?

(in the beginning the policeman is stopped so there is no acceleration then after time T he accelerates at a constant rate. This is all that was given in the question.)

Answer 1