Problem: A police car at rest, passed by a speeder traveling at a constant 130 km/h , takes off in hot pursuit. The police officer catches up to the speeder in 850 m , maintaining a constant acceleration.Qualitatively plot the position vs. time graph for both cars from the police cars start to the catch-up point.Calculate how long it took the police officer to overtake the speeder.Calculate the required police car acceleration.Calculate the speed of the police car at the overtaking point.

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Problem Details

A police car at rest, passed by a speeder traveling at a constant 130 km/h , takes off in hot pursuit. The police officer catches up to the speeder in 850 m , maintaining a constant acceleration.

Qualitatively plot the position vs. time graph for both cars from the police cars start to the catch-up point.

Calculate how long it took the police officer to overtake the speeder.

Calculate the required police car acceleration.

Calculate the speed of the police car at the overtaking point.

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

Our tutors have indicated that to solve this problem you will need to apply the Motion Of Multiple Objects concept. If you need more Motion Of Multiple Objects practice, you can also practice Motion Of Multiple Objects practice problems.