A heavy uniform rope hangs vertically from the ceiling, with its lo...

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A heavy uniform rope hangs vertically from the ceiling, with its lower end free. A disturbance on the rope travelling upward from the lower end has a velocity \( v \) at a distance \( x \) from the lower end. Then -
a. \( v \propto 1 / x \)
b. \( V \propto x \)
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