A mass weighing 12lb stretches a spring 10in.. The mass isattached to a viscous damper with damping constant 3lb*s/ft. Themass is pushed upward, contracting the spring a distance of 2in,and then set into motion with a downward velocity of 4in/s.Determine the position of the mass at any time . Use as 32ft/s^2theacceleration due to gravity. Pay close attention to the units.