An object of mass 5kg is given an initial downward velocity of 50 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -10v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 600 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m divided by sec ^2 and let x(t) represent the distance the object has fallen in t seconds

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An object of mass 5kg is given an initial downward
velocity of 50 m/sec and then allowed to fall under
the influence of gravity. Assume that the force in
newtons due to air resistance is -10v, where v is the
velocity of the object in m/sec. Determine the
equation of motion of the object. If the object is
initially 600 m above the ground, determine when
the object will strike the ground. Assume that the
acceleration due to gravity is 9.81 m divided by sec
^2 and let x(t) represent the distance the object
has fallen in t seconds
Transcribed Image Text:An object of mass 5kg is given an initial downward velocity of 50 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -10v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 600 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m divided by sec ^2 and let x(t) represent the distance the object has fallen in t seconds
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