A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a…

A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a viscous damper with damping constant 3 lb-s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 6 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) =