The mass m = 2 slug and the spring constant is k = 72 lb/ft. The spring is unstretched whe...

The mass m = 2 slug and the spring constant is k = 72 lb/ft. The spring is unstretched when x = 0. At t = 0,x = 1 ft. dx/dt = 1 ft/s, and the force F(t) = 10 sin 4t + 10 cos 4t lb is applied to the mass. What is the position of the mass at t = 2 s?