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A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring...

A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring 1/2 feet. The ball is started in motion from the equilibrium position with a downward velocity of 6 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second) .

Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that the positive direction is down.)

Take as the gravitational acceleration 32 feet per second per second.

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