A body weighing 128 pounds hangs from a spring with constant 1400 lb/ft. The medium, where...

A body weighing 128 pounds hangs from a spring with constant 1400 lb/ft. The medium, where the body moves, offers a force of opposition to the movement numerically equal to 15 for its instantaneous speed. If the weight is released 2 feet above its balance position, say how fast it should be initially pushed so that after 6 seconds it reaches the lower limit position. Take the constant of gravity as 32 ft/sec^2.

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