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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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