A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the equilibrium position, and the resulting motion takes times the instantaneous velocity. Use the Laplace transform to find the equation of place in a medium offering a damping force numerically equal to motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) =

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Q: #9

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Q: n the blank. (Enter your answer in terms of t.) 1

A: ℒ-11s2-7=? Lets first use partial fraction decomposition. We have 1s2-7=1s2-72=1s-7s+7

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