Answer:
h = 31.9 m
Explanation:
When the ball travels from the ground to the highest point, its kinetic energy is converted into potential energy. So by the law of conservation of energy:
[tex]Kinetic\ Energy\ Lost\ by\ ball = Potential\ Energy\ gained\ by\ ball\\\frac{1}{2}mv^{2} = mgh\\\\h = \frac{v^{2}}{2g}[/tex]
where,
h = height gained by ball = ?
v = speed of ball = 25 m/s
g = acceleration due to gravity = 9.8 m/s²
Therefore,
[tex]h = \frac{(25\ m/s)^{2}}{2(9.8\ m/s^{2})}[/tex]
h = 31.9 m
