Problem on police car starts to accelerate a constant rate


On your way to classes, you are driving on 8th street at a speed of 60 mph (26.8 m/s) when you see a police car parked at the side of the road. The moment you pass the police car, you realized that you are speeding and start to slow down at a constant acceleration of 1.50 m/s^2. At the same time, the police car starts to accelerate a constant rate of 3.20 m/s^2

a) How far beyond the point at which you passed the police car, will the police catch up with you.

b) How fast will the police car be when it catches up with you?

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Physics: Problem on police car starts to accelerate a constant rate
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