Here's how to calculate the maximum height of the baseball:

Understanding the Physics

* Initial Velocity (v₀): 22 m/s (upwards)

* Final Velocity (v): 0 m/s (at the peak)

* Acceleration due to gravity (g): -9.8 m/s² (downwards)

Using the Kinematic Equation

We can use the following kinematic equation to find the maximum height (Δy):

v² = v₀² + 2 * g * Δy

Solving for Δy

1. Rearrange the equation:

Δy = (v² - v₀²) / (2 * g)

2. Substitute the values:

Δy = (0² - 22²) / (2 * -9.8)

3. Calculate:

Δy = 484 / 19.6 ≈ 24.69 m

Therefore, the baseball would reach a maximum height of approximately 24.69 meters.