Ahollow steel ball weighing 4 pounds is suspended from a spring. this stretches the spring 12 feet. the ball is started in motion from the equilibrium position with a downward velocity of 5 feet per second. the air resistance (in pounds) of the moving ball numerically = 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.