A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping constant c = 18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Find its displacement (in feet) for t > 0.

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A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping constant \( c = 18 \, \text{lb-sec/ft} \). The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Find its displacement (in feet) for \( t > 0 \).

\( y(t) = \) [Text Box for Solution]
Transcribed Image Text:A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping constant \( c = 18 \, \text{lb-sec/ft} \). The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Find its displacement (in feet) for \( t > 0 \). \( y(t) = \) [Text Box for Solution]
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