A 400-lb object is released from rest 400 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 25v, 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 (Round to three decimal places as needed.) seconds.
A 400-lb object is released from rest 400 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 25v, 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 (Round to three decimal places as needed.) seconds.
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Transcribed Image Text:A 400-lb object is released from rest 400 ft above the ground and allowed to fall under the influence of gravity. Assuming
that the force in pounds due to air resistance is - 25v, 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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