AZING! Conservation of Energy and Velocity in Tarzan's Swing

[baileya]

Homework Statement

Tarzan swings from his tree house over to Janes by hanging on a vine that's 22m long. Assume his swing is frictionless (conservative forces only). The angle between Tarzan's house and the bottom of his swing is 60 degrees, the angle between Jane's house and the bottom of Tarzan's swing is 40 degrees.

What's his velocity at the bottom of his swing?
What's the velocity when he gets to Janes place?

Homework Equations

PEg=mgyi
mgyi+1/2mvi^2=mgyf+1/2mvf^2

The Attempt at a Solution

I attempted to figure it out using examples from notes, but got nowhere.
A very detailed, simple explanation would be great (I really can't figure it out!)

 

[Andrew Mason]

Homework Statement

Tarzan swings from his tree house over to Janes by hanging on a vine that's 22m long. Assume his swing is frictionless (conservative forces only). The angle between Tarzan's house and the bottom of his swing is 60 degrees, the angle between Jane's house and the bottom of Tarzan's swing is 40 degrees.

What's his velocity at the bottom of his swing?
What's the velocity when he gets to Janes place?

Use conservation of energy. What is the difference in potential energy between his tree house and the bottom / Jane's place? Is energy conserved? If so, what form of energy is that difference in potential energy converted to?

AM