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

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) =

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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