Question

Tarzan is running at 7.5 m/s when he grabs a hanging vine from a tree branch. How high can he swing upward?

Answer 1

kinetic energy = (1/2) m (7.5)^2
Potential Energy distance h above running height = m g h = m (9.81) h
so
9.81 h = .5 * 7.5 * 7.5
solve for h