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An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the influence of gravily. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b-50 N-sec/m, determine the oquation of motion of the object When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m/sec and let x(1) reprosent the distance the object has fallon in t seconds. Determine the equation of motion of the object. x(t) = When will the object hit the ground? seconds. The object will hit the ground after (Round to two decimal places as needed.)

An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the influence of gravily. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b-50 N-sec/m, determine the oquation of motion of the object When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m/sec and let x(1) reprosent the distance the object has fallon in t seconds. Determine the equation of motion of the object. x(t) = When will the object hit the ground? seconds. The object will hit the ground after (Round to two decimal places as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the influence of gravily. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constantb-50 N-sec/m, determine the oquation of motion of the object When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m/sec and let x(1) represent the distance the object has fallon 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 two decimal places as neoded.)
Transcribed Image Text:An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the influence of gravily. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constantb-50 N-sec/m, determine the oquation of motion of the object When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m/sec and let x(1) represent the distance the object has fallon 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 two decimal places as neoded.)
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