Please solve the question with explaination

A mass weighing 32 pounds stretches a spring 8 feet. (a) Dene the differential equation that represents the above undamped mass-spring system. (b) Determine the amplitude and period of motion if the mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of 2 ft/s. (c) Now assume that the mass is attached to a dashpot device that offers a damping force numerically equal to 4 times the instantaneous velocity. Determine the motion (i.e.. the solution) of the damped mass-spring system with the same conditions stated in (b)