Respuesta :
Let the stone is dropped off a cliff of height S m ft.
Given, initial velocity of the stone, u= 0 ft/s
Final velocity of the stone, v= 104 ft/s
Acceleration of the stone= Acceleration due to gravity = 32 ft/s²
Using the third equation of motion,
v² - u² = 2aS
Substituting the values we get,
[tex] (104)^{2}-(0)^{2}=2*32*S [/tex]
S= 169 ft
Height of the cliff is 169 ft.
Height of cliff= 169 ft
Explanation:
using kinematic equation:
Vf²= Vi²+ 2 g h
Vf= Final velocity= 104 ft/s
Vi= initial velocity=0
g= acceleration due to gravity=32 ft/s²
h= height of cliff
(104)²= 0 + 2 (32) h
64 h=10816
h=169 ft