While driving on the highway at a constant speed v0, significantly above the speed limit, you pass in front of a parked police car without noticing it. After a few seconds, during which time you have moved a distance d, the police car starts chasing you with a constant acceleration a0. Give your answers in terms of v 0, d, and a0. Assuming that you keep moving at a constant speed, and that the highway can be considered straight:
[a] How long will it take for the police car to reach you?
[b] How far has the police car traveled when it reaches you?
[c] What is the speed of the police car when it reaches you?