To find the maximum height reached by the baseball, we can use the following kinematic equation:
v_f^2 = v_i^2 + 2ad
where v_f is the final velocity, v_i is the initial velocity, a is the acceleration, and d is the displacement.
At the maximum height, the final velocity is zero, and the acceleration is the acceleration due to gravity, which is -9.8 m/s^2. Therefore, we have:
0^2 = (30 m/s)^2 + 2(-9.8 m/s^2) * d
Solving for d, we get:
d = (30 m/s)^2 / (2 * 9.8 m/s^2) = 45.92 m
So, the maximum height reached by the baseball is approximately 45.92 meters.