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A car starts from rest and accelerates at a constant rate until it reaches 75 mi/hr...

A car starts from rest and accelerates at a constant rate until it reaches 75 mi/hr in a distance of 220 ft, at which time the clutch is disengaged. The car then slows down to a velocity of 25 mi/hr in an additional distance of 570 ft with a deceleration which is proportional to its velocity. Find the time t for the car to travel the 790 ft.

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