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 to gravity.) x(t) = 9te-2√2t Find the time t = 0.3535 which the mass attains its extreme displacement from the equilibrium position. x What is the position of the mass at this instant? The extreme displacement is x = 2.34 x feet.

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 to gravity.) x(t) = 9te-2√2t Find the time t = 0.3535 which the mass attains its extreme displacement from the equilibrium position. x What is the position of the mass at this instant? The extreme displacement is x = 2.34 x feet.