The block, having a weight of 12 lb, is immersed in a liquid such that the damping

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The block, having a weight of 12 lb, is immersed in a liquid such that the damping force acting on the block has a magnitude of F = (0.7 | v |) lb, where v is in ft/s. If the block is pulled down 0.62 ft and released from rest, determine the position of the block as a function of time. The spring has a stiffness of k = 53 lb/ft. Assume that positive displacement is downward.

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