6 pts.) a 3 ft. spring measures 9 ft. long after a mass weighing 8 lbs. is attached to it. the medium through which the mass moves offers a damping force numerically equal to 2 times the instantaneous velocity. let y(t) denote the motion of spring at time t. set up the initial value problem when the mass is initially released from the equilibrium position with a downward velocity 4 ft/s. the gravitational acceleration is 32 ft/s2 . set up an initial value problem (ivp) for y(t) that models this situation. you do not need to solve the ivp