Answer:
height = 45 m
Step-by-step explanation:
Initial velocity = 0 m/s
Final velocity = 30 m/s
Acceleration due to gravity = +10m/s^2 ( because ball is going down )
Using the eqn of motion
![{v}^(2) - {u}^(2) = 2gh](https://img.qammunity.org/2021/formulas/physics/high-school/5h2ht7uw7tdk3l7om8l3v3gvi2wokj0f0b.png)
where v= final velocity ; u = initial velocity ; g = acceleration due to gravity ; h = height
So,
![{30}^(2) - {0}^(2) = 2 * 10 * h](https://img.qammunity.org/2021/formulas/physics/high-school/d7sbva0ce708131vpksn3dykrx8dz6ol6f.png)
![= > 20h = 900](https://img.qammunity.org/2021/formulas/physics/high-school/n5lhsuz1e6qqf2gvdbks3ocb5cx10qmrei.png)
![= > h = (900)/(20) = 45](https://img.qammunity.org/2021/formulas/physics/high-school/ozl97bdh83fild8tzx5hvrf63jtke3nhxd.png)