A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to 7 8 times the instantaneous velocity. (Use g = 32 ft/s2 for the acceleration due to gravity.) Complete the Laplace transform of the differential equation. s2â„’{x} + s + sâ„’{x} + + â„’{x} = 0 Use the Laplace transform to find the equation of motion x(t).