A spring is such that a 4-pound weight stretches it 0.64 feet. The 4-pound weight is pushed up 4-inches above the point of equilibrium and then started with a downward velocity of 5 ft/sec. The motion takes place in a medium which furnishes a damping force of magnitude 1/4 | v | at all times. Find
and solve the equation describing the position x = x(t) of the weight at time t.