Answer:
10.9 m/s
Explanation:
Energy is conserved. Tarzan's initial gravitational potential energy is converted to his final kinetic energy.
The distance between the initial point and the lowest point is L − L cos θ, where L is the length of the vine and θ is the angle from the vertical.
PE = KE
mgh = ½ mv²
mg (L − L cos θ) = ½ mv²
g (L − L cos θ) = ½ v²
v² = 2gL (1 − cos θ)
Plug in values:
v² = 2 (9.8 m/s²) (30 m) (1 − cos 37°)
v = 10.9 m/s
