Jane, looking for Tarzan, is running at top speed (4.3 m/s) and grabs a vine hanging vertically from a tall tree in the jungle. How high can she swing upward?

Answer 1

V=4.3m/s
h=?

V=sqrt(2gh)
4.3^2=2gh (note:squaring both sides will cancel the square root on the right side)
18.49=2(9.8)(h)
18.49=19.6(h)
18.49/19.6=h

h=0.943367