Answer:
The basketball player jumped 10 m high.
Step-by-step explanation:
Vertical Launch Upwards
In a vertical launch upwards, an object is launched vertically up without taking into consideration any kind of friction with the air.
If vo is the initial speed and g is the acceleration of gravity, the maximum height reached by the object is given by:
![\displaystyle h_m=(v_o^2)/(2g)](https://img.qammunity.org/2022/formulas/physics/high-school/mnsgcojjqibxn0533pd56ngxybcl2edir3.png)
The basketball player jumps up with a speed of vo=14 m/s. The maximum height is:
![\displaystyle h_m=(14^2)/(2*9.8)](https://img.qammunity.org/2022/formulas/physics/high-school/szgufzo4n75opuwryte7cqynnnnqw2jb49.png)
![\displaystyle h_m=(196)/(19.6)=10](https://img.qammunity.org/2022/formulas/physics/high-school/r5ftihacdcmkb33ssyeak04zuyod6siunc.png)
The basketball player jumped 10 m high.