A 96lb weight stretches a spring 4ft in equilibrium. It is submitted to friction with damping coefficient γ = 12lb · sec/f t. The weight is initially displaced 1 foot below equilibrium and given a downward velocity of 4ft/sec. Set up and solve the initial value problem modeling the displacement of the weight for t ≥ 0.
Note: Please use g = 32ft/sec2 as the acceleration due to gravity.