7. A spring is such that a 4-lb weight stretches it 0.64 ft. The 4-lb weight is pushed up 1/3 ft above the point of equilibrium and then started with a downward velocity of 5 ft/sec. The motion takes place in a medium which furnishes a damping force of magnitude ¼ |v| at all times. Find the equation describing the position of the weight at time t.

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7. A spring is such that a 4-lb weight stretches it 0.64 ft. The 4-1b weight is pushed up 1/3 ft above the point
of equilibrium and then started with a downward velocity of 5 ft/sec. The motion takes place in a medium
which furnishes a damping force of magnitude ¼ |v| at all times. Find the equation describing the position
of the weight at time t.
Transcribed Image Text:7. A spring is such that a 4-lb weight stretches it 0.64 ft. The 4-1b weight is pushed up 1/3 ft above the point of equilibrium and then started with a downward velocity of 5 ft/sec. The motion takes place in a medium which furnishes a damping force of magnitude ¼ |v| at all times. Find the equation describing the position of the weight at time t.
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