A 800-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 du to gravity is 32 ft/sec² and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A 800-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 du
to gravity is 32 ft/sec² and let x(t) represent the distance the object has fallen in t seconds.
Determine the equation of motion of the object.
x(t) =
Transcribed Image Text:A 800-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 du to gravity is 32 ft/sec² and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) =
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