A 200 -lb object is released from rest 600ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is -10v, 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 divided by sec squared32 ft/sec2 and let x(t) represent the distance the object has fallen in t seconds.