While driving on the (straight) highway at a constant speed v0, considerably above the speed limit, you pass in front of a parked police car without noticing it. After a few seconds, through which time you have moved a distance d, the police car starts chasing you with a constant acceleration a0. Determine your answers in terms of v0, d, and a0 and check the units of your answers. Suppose that you keep moving at a constant speed.
1. How long will it take for the police car to reach you?
2. How far has the police car travelled when it reaches you?
3. What is the speed of the police car when it reaches you?