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

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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 a damping force numerically equal to 2 times the instantaneous velocity Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 9 ft s Use g 32 ft s2 for the acceleration due gravity x t Find the time at which the mass attains its extreme displacement from the equilibrium position t What is the position of the mass at this instant The extreme displacement is x feet

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