Answer:
The value is [tex]H = 114.74 \ m[/tex]
Explanation:
From the question we are told that
The initial speed is [tex]u = 14.6 \ m/s[/tex]
The height of the cliff is [tex]h_o = 93 \ m[/tex]
Generally from kinematic equation we have that
[tex]v^2 = u^2 + 2as[/tex]
At maximum height , v which is the finial velocity is zero
So
[tex]0^2 = 14.6^2 + 2 * (- 9.8) * s[/tex]
=> [tex]s = 10.87 \ m[/tex]
Generally the total distance traveled is mathematically represented as
[tex]H = 2 * s + h_o[/tex]
=> [tex]H = 2 * 10.87 + 93[/tex]
=> [tex]H = 114.74 \ m[/tex]
