A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers adamping force numerically equal to √2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from theequilibrium position with a downward velocity of 3 ft/s. (Use g = 32 ft/s² for the acceleration due to gravity.)x(t) =Find the time at which the mass attains its extreme displacement from the equilibrium position.t=XxWhat is the position of the mass at this instant?The extreme displacement is x = 0.39X feet.

normal length of string L = 4 ft stretched length L' =8ftand mass m =8/32=1/4initial conditions…

Answered: A 4-foot spring measures 8 feet long…

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