Answer:
![h_m=25.8\ m](https://img.qammunity.org/2021/formulas/physics/college/3le292azziu6yv1v1sfg9r8n3kwvjak7ls.png)
Step-by-step explanation:
Vertical Launch Upwards
In a vertical launch upwards, an object is launched vertically up without taking into consideration friction with the air.
If vo is the initial speed and g is the acceleration of gravity, the maximum height reached by the object is given by:
![\displaystyle h_m=(v_o^2)/(2g)](https://img.qammunity.org/2021/formulas/physics/college/pm2uiufc48b6s6opv5d9n5zypqnlpbk54r.png)
The tennis ball was thrown straight up with a speed of v0=22.5 m/s. The acceleration of gravity is g=9.81\ m/s^2, thus:
![\displaystyle h_m=(22.5^2)/(2\cdot 9.81)](https://img.qammunity.org/2021/formulas/physics/college/ccxbwpsexngwszh64ts1l044x2cczp5yj1.png)
![\mathbf{h_m=25.8\ m}](https://img.qammunity.org/2021/formulas/physics/college/jdfr007imn8bw5oiegsclt7vt6f75p8m6t.png)