A body weighing 64 lb is dropped from a height of 100 ft with an initial velocity

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Question:

A body weighing 64 lb is dropped from a height of 100 ft with an initial velocity of 10 ft/sec. Assume that the air resistance is proportional to the velocity of the body. If the limiting velocity is known to be 128 ft/sec, find

(a) an expression for the velocity of the body at any time t.

(b) an expression for the position of the body at any time t.