2. A 64lb weight stretches a spring 3.2ft in equilibrium. It is submitted to friction with damping coefficient y = 12lb · sec/ft. The weight is initially displaced 2 feet below equilibrium and given a downward velocity of 1ft/sec. Set up and solve the initial value problem modeling the displacement of the weight for t > 0. Note: Please use g = 32 ft/sec? as the acceleration due to gravity.

2. A 64lb weight stretches a spring 3.2ft in equilibrium. It is submitted to friction with damping coefficient y = 12lb · sec/ft. The weight is initially displaced 2 feet below equilibrium and given a downward velocity of 1ft/sec. Set up and solve the initial value problem modeling the displacement of the weight for t > 0. Note: Please use g = 32 ft/sec? as the acceleration due to gravity.