An object of mass m falls from rest, starting at a point near the earths surface
Chapter 1, Problem 17(choose chapter or problem)
An object of mass m falls from rest, starting at a point near the earths surface. Assuming that the air resistance varies as the square of the velocity of the object, a simple application of Newtons second law yields the initial-value problem for the velocity, v(t), of the object at time t: m dv dt = mg kv2, v(0) = 0, where k, m, g are positive constants.(a) Solve the foregoing initial-value problem for v interms of t.(b) Does the velocity of the object increase indefi-nitely? Justify.(c) Determine the position of the object at time t.
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