A mass weighing 8 pounds stretches a spring 4 feet. The medium through the mass moves...

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A mass weighing 8 pounds stretches a spring 4 feet. The mediumthrough the mass moves offers a damping force numerically equal tosqrt(2) times the instantaneous velocity. Find the equation ofmotion if mass is released from equilibrium position with adownward velocity of 5 ft/s. Find the time at which the massattains its extreme displacement from the equilibrium position.What is the position of the mass at this instant? The accelerationof gravity is g = 32 ft/s2

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