Steel ball on a spring
A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring (128/101) feet.
The ball is started in motion from the equilibrium position with a downward velocity of 9 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 this means that the postive direction for y is down.)