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**Problem**: 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?

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###### Problem Details

While driving on the highway at a constant speed v_{0}, 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 a_{0}. Give your answers in terms of v _{0}, d, and a_{0}. 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?

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What scientific concept do you need to know in order to solve this problem?

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