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A 200​-lb object is released from rest 500 ft above the ground and allowed to fall...

A 200​-lb object is released from rest 500 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 5​v, where v is the velocity of the object in​ ft/sec, determine the equation of motion of the object. When will the object hit the​ ground? Assume that the acceleration due to gravity is 32 ft/sec2 and let​ x(t) represent the distance the object has fallen in t seconds.

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