the displacement of a mass suspended on a spring is modeled by the function y=5 sin(pi t), where y is measured in inches and t in seconds. the amplitude, period, and frequency of the motion of the mass are given by .

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Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).