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A mass of 1 slug, when attached to a spring, stretches it 2 feet. It is...

A mass of 1 slug, when attached to a spring, stretches it 2 feet. It is released from a point 1 foot above the equilibrium position with a downward velocity of 2 ft/s.

1) Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to 4 times the instantaneous velocity.

2) Classify the motion as underdamped, overdamped, or critically damped.

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