Jane, looking for Tarzan, is running at top speed (3.6 m/s) and grabs a vine hanging vertically from a tall tree in the jungle. How high can she swing upward? Does the length of the rope matter?

Answer 1

His KE converts to gravitaional PE

1/2 mv^2=mgHeight
solve for Height.

Did length of the rope matter?

Answer 2

no, because it got canceled on both side