A 4 foot spring measures 8 feet long after a mass weighing 8 pounds is attached...

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A 4 foot spring measures 8 feet long after a massweighing 8 pounds is attached to it. The medium through which themass moves offers a damping force numerically equal to 2^1/2 timesthe instantaneous velocity. Find the equation of motion if the massis initially released from the equilibrium position with a downwardvelocity of 9 ft/a. (Use g =32 ft/s^2 for the acceleration due togravity.) a) Find the time at which the mass attains its extremedisplacement from the equilibrium position. b) What is the positionof the mass at this instant? c) The extreme displacement is equalto..

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