The maximum height reached is 2.87 meters
<h3>What is maximum height?</h3>
The maximum height of an object is the highest vertical position along the trajectory of the object.
The given parameters are:
--- the initial velocity
--- the final velocity
--- the acceleration
To calculate the height (s) of the ball, we make use of the following equation of motion:
![v^2 = u^2 + 2as](https://tex.z-dn.net/?f=v%5E2%20%3D%20u%5E2%20%2B%202as)
Substitute known values
![0^2 = 7.5^2 - 2gs](https://tex.z-dn.net/?f=0%5E2%20%3D%207.5%5E2%20-%202gs)
![0 = 56.25 - 2gs](https://tex.z-dn.net/?f=0%20%3D%2056.25%20-%202gs)
Collect like terms
![2gs = 56.25](https://tex.z-dn.net/?f=2gs%20%3D%2056.25%20)
Substitute 9.8 for g
![2 \times 9.8 s = 56.25](https://tex.z-dn.net/?f=2%20%5Ctimes%209.8%20s%20%3D%2056.25%20)
![19.6 s = 56.25](https://tex.z-dn.net/?f=19.6%20s%20%3D%2056.25%20)
Divide both sides by 19.6
![s = 2.87](https://tex.z-dn.net/?f=s%20%3D%202.87)
Hence, the maximum height reached is 2.87 meters
Read more about acceleration and maximum height at:
brainly.com/question/14638187