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A motorcycle cop is waiting hidden behind a sign on a long flat stretch of highway....

A motorcycle cop is waiting hidden behind a sign on a long flat stretch of highway. A speeder comes by moving at 40 m/sec (in a 20 m/sec zone). The alert policeman starts to chase him immediately when the speeder passes his hiding spot. The policeman accelerates from rest at a constant 4 m/sec/sec until he pulls alongside the dumb speeder who never slows down. Find the time, distance and final speed for the cop in this scenario.

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