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The acceleration and velocity of a body falling in the air approximately satisfy the equation: Acceleration=g-kv, where v is the velocity of the body

The acceleration and velocity of a body falling in the air approximately satisfy the equation: Acceleration=g-kv, where v is the velocity of the body at any time t, and g, k are constants. Find the distance traversed as a function of the time, if the body falls from rest. Show that value of v will never exceed g/k.

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