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Solve the all parts of following problem:
Problem: A police car is stopped for a red light. A truck moving at a constant velocity of 15 m/s passes the police car, and illegally goes through the red light. Three seconds later, the police car begins accelerating with a constant acceleration of 2.28 m/s^2 in order to catch up with the truck.
Part A: In how many seconds will the police car catch up with the truck?
Part B: How far will the police car have traveled in this time?
Part C: At what time will the police car have the same velocity as that of the truck?
I've been having quite a bit of trouble understanding this problem, Thank you so much for your help. Thanks.
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