Tarzan has foolishly gotten himself into another scrape with the animals and must be rescued once again by Jane. The $60\mathrm{.}0$ kg Jane starts from rest at a height of $5\mathrm{.}00$ mm in the trees and swings down to the ground using a thin, but very rigid, $28\mathrm{.}0$ kg vine $8\mathrm{.}00$ mm long. She arrives just in time to snatch the $72\mathrm{.}0$ kg Tarzan from the jaws of an angry hippopotamus. What is Jane's $($and the vine's$)$ angular speed

A$.$ just before she grabs Tarzan?

B$.$ just after she grabs him?

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