v = velocity of Tarzan at the bottom as he grabs the vertical vine = 6 m/s
L = length of vine tied to tree at the top = 4.1 m
h = maximum height gained by Tarzan = ?
m = mass of Tarzan
using conservation of energy
maximum potential energy at the top = kinetic energy at the bottom
mgh = (0.5) m vĀ²
gh = (0.5) vĀ²
(9.8) h = (0.5) (6)Ā²
h = 1.84 m
BC = h = height = 1.84 m
AC = length of vine = 4.1 m
AB = AC - BC = 4.1 - 1.84 = 2.26 m
In triangle ABD
CosĪø = AB/AD
CosĪø = 2.26/4.1
CosĪø = 0.55
Īø = Cosā»Ā¹(0.55)
Īø = 56.6 deg
