5. (20 points) A mass weighing 8 pounds stretches a spring 1.6 feet. The entire system is placed in a medium that offers a damping force numerically equivalent to twice the instantaneous velocity. The mass is initially released from a point 1/2 foot above the equilibrium point with a downward velocity of 5 ft/sec (a) (6 points) Write the differential equation for the mass/spring system and identify the initial conditions 7 5. (b) (12 points) Solve the IVP in part() for the equation of motion, (e) (2 points) Is the system overdamped, critically damped, or underdamped? Will the mass cross the equilibrium point exactly once, never, or infinitely often as