A mass that weighs 8 lb stretches a spring 6 inches. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and ft Express your answer as a linear combination of sin(at) 9 = 32 s2 and cos(at), where u is in feet and t is in seconds. u(t) = Determine the first four times at which the velocity of the mass is zero. Exclude t = 0 as trivial, and enter exact answers. First zero: t Second zero: t Third zero:t= Fourth zero: t =

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