Answer:
The height jumped by the sprinter is 5.10 meters.
Step-by-step explanation:
It is given that,
Speed of the sprinter, v = 10 m/s
We need to find the height jumped by the sprinter his or her kinetic energy gets converted into upward motion. It can be calculated using conservation of energy as :
![mv^2=mgh](https://img.qammunity.org/2021/formulas/physics/college/k40vztjgo4ezmaaoz694zti4uk1lmqpncm.png)
![h=(v^2)/(2g)](https://img.qammunity.org/2021/formulas/physics/college/syt8n9voql5lkk9y49lbzbh7qclqxo57g3.png)
g is the acceleration due to gravity
![h=((10)^2)/(2* 9.8)](https://img.qammunity.org/2021/formulas/physics/college/1t3y21deegxsw7hl3v5i2k76blsu7ywo2c.png)
h = 5.10 meters
So, the height jumped by the sprinter is 5.10 meters. Hence, this is the required solution.