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.)
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.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9816bcee-7545-4f16-988e-766c32224bfe%2F148ff45c-48e3-437d-8a6b-553f2e3d0a10%2Faz9wc18_processed.png&w=3840&q=75)
Transcribed Image Text: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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