Physics
posted by Brooke .
Jane, looking for Tarzan, is running at top speed (6.2 m/s) and grabs a vine hanging vertically from a tall tree in the jungle. How high can she swing upward?

You just need to calculate Jane's kinectic energy before she grabs the vine (.5mv^2). This will be equal to her gravitational potential energy (mg*height) at the top of her swing.
.5mv^2=mgh
cancel the mass on both sides
.5v^2=gh
19.22=9.8h
h=1.96 
@Peter What about the nonconservative work lost with the tension force?
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