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A 320-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 - 20v, 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/sec and let x(t) represent the distance the object has fallen in t seconds.
Determine the equation of motion of the object.
x(t) =
When will the object hit the ground?
The object will hit the ground after
seconds.
(Round to three decimal places as needed.)

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