A heavy uniform rope hangs vertically from the ceiling, with its lower end free. A disturbance o...

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
\( P \) distance \( x \) from the lower end.
(A) \( \quad v \alpha \frac{1}{x} \)
(B) \( \quad \mathrm{r} \alpha \mathrm{x} \)
W.
(C) \( v \alpha \sqrt{x} \)
(D) \( \quad \operatorname{v} \alpha \frac{1}{\sqrt{x}} \)