Tarzan has foolishly gotten himself into another scrape with the animals and must be rescued once again by Jane. The $60\mathrm{.}0$ kgkg Jane starts from rest at a height of $4\mathrm{.}50$ mm in the trees and swings down to the ground using a thin, but very rigid, $30\mathrm{.}0$ kgkg vine $7\mathrm{.}50$ mm long. She arrives just in time to snatch the $72\mathrm{.}0$ kgkg Tarzan from the jaws of an angry hippopotamus. What is Jane's $($and the vine's$)$ angular speed

Part A

just before she grabs Tarzan?

Part B

just after she grabs him?

Part C

How high will Tarzan and Jane go on their first swing after this daring rescue?