Answer the following questions. write units wherever appropriate. a. a spring with spring constant 12 pounds per foot is attached to the ceiling. a 4 pound weight is attached. how far does the spring stretch? the mass-spring system is then set in motion in a medium that imparts a damping force numerically equal to 2 times the velocity. the mass is pushed up three inches from the equilibrium position and given a downward velocity of 2 feet per second. write down the initial value problem for the position, x (t). now solve the initial value problem given above.