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A 16 lb weight is attached to a spring with a spring constant equal to 2 lb/ft. Neglect damping. The weight is released from

A 16 lb weight is attached to a spring with a spring constant equal to 2 lb/ft. Neglect damping. The weight is released from rest at 3 ft below the equilibrium position. At t = 2r sec, it is struck with a hammer, providing an impulse of 4 lb-sec. Determine the displacement function y(t) of the weight.

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