An object of mass 700 kg is released from rest 2000 m above the ground and allowed to fall under the influence of gravity 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 equation of motion of the object. When will the object strike the ground? [Hint Here the exponentie term is too large to ignore. Use Newton's method to approximate the time t when the object strikes the ground ] Assume th the acceleration due to gravity is 9.81 m/sec² Let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. 2270 (1 - 2 - 16 ) 14 1- e x(t)= 137.34t-1922.76 HILD When will the object hit the ground? The object will hit the ground after seconds. (Round to two decimal places as needed.)
An object of mass 700 kg is released from rest 2000 m above the ground and allowed to fall under the influence of gravity 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 equation of motion of the object. When will the object strike the ground? [Hint Here the exponentie term is too large to ignore. Use Newton's method to approximate the time t when the object strikes the ground ] Assume th the acceleration due to gravity is 9.81 m/sec² Let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. 2270 (1 - 2 - 16 ) 14 1- e x(t)= 137.34t-1922.76 HILD When will the object hit the ground? The object will hit the ground after seconds. (Round to two decimal places as needed.)
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 700 kg is released from rest 2000 m above the ground and allowed to fall under the influence of gravity
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 equation of motion of the object. When will the object strike the ground? [Hint Here the exponentie
term is too large to ignore. Use Newton's method to approximate the time t when the object strikes the ground ] Assume th
the acceleration due to gravity is 9.81 m/sec²
Let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object
x(t)= 137.34t-1922.76 1- e
t
14
When will the object hit the ground?
The object will hit the ground after seconds.
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ebee747-9a94-438b-80c8-0b3b296e8c92%2Fa689f687-f911-4d16-8fb3-a8995adba2ab%2F6knckp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An object of mass 700 kg is released from rest 2000 m above the ground and allowed to fall under the influence of gravity
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 equation of motion of the object. When will the object strike the ground? [Hint Here the exponentie
term is too large to ignore. Use Newton's method to approximate the time t when the object strikes the ground ] Assume th
the acceleration due to gravity is 9.81 m/sec²
Let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object
x(t)= 137.34t-1922.76 1- e
t
14
When will the object hit the ground?
The object will hit the ground after seconds.
(Round to two decimal places as needed.)
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