A mass weighing 32 pounds is attached to the lower end of a coil spring. It…

A mass weighing 32 pounds is attached to the lower end of a coil
spring. It stretches the spring by 1 foot and comes to rest at
equilibrium position. At time t = 0, the mass is pulled downward 1
foot, and released. Suppose the damping is equivalent to 8x’ pounds
and no external forces are present. Find the displacement of the
mass at time t, and write your final answer in phase-amplitude
form.