Respuesta :

Answer:

The height jumped by the sprinter is 5.10 meters.

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 :

[tex]mv^2=mgh[/tex]

[tex]h=\dfrac{v^2}{2g}[/tex]

g is the acceleration due to gravity

[tex]h=\dfrac{(10)^2}{2\times 9.8}[/tex]

h = 5.10 meters

So, the height jumped by the sprinter is 5.10 meters. Hence, this is the required solution.