An object of mass 7 kg is given an initial downward velocity of 40 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is - 21v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 400 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has fallen in t seconds.
An object of mass 7 kg is given an initial downward velocity of 40 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is - 21v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 400 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has fallen in t seconds.
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Transcribed Image Text:An object of mass 7 kg is given an initial downward velocity of 40 m/sec and then allowed to fall under the
influence of gravity. Assume that the force in newtons due to air resistance is - 21v, where v is the velocity
of the object in m/sec. Determine the equation of motion of the object. If the object is initially 400 m above
the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is
9.81 m/sec² and let x(t) represent the distance the object has fallen in t seconds.
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