The maximum height reached by the ball is 46 m.
Given data:
The mass of the ball is m=0.50 kg.
The velocity of the ball is v=30 m/s.
The gravitational acceleration acting on the ball is g=9.8 m/s².
The maximum height that the ball reach will be,
![\begin{gathered} h_(max)=(v^2)/(2g) \\ h_(max)=((30)^2)/(2(9.8)) \\ h_(max)=46\text{ m} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/oy7spkx994bzzwflomxqxvvpnlayaxmfzo.png)
Thus, the maximum height reached by the ball is 46 m.