Given data
*The given acceleration is a = 10 m/s^2
*The initial speed of the ball is u = 0 m/s
*The final speed of the ball is v = 100 m/s
The expression for the time taken by the ball to reach the ground is given by the kinematic equation of motion as
![\begin{gathered} v=u+at \\ t=(v-u)/(a) \end{gathered}](https://img.qammunity.org/2023/formulas/physics/high-school/dus33f3nfyoqshaeq7fbadkjdx0o8qag53.png)
Substitute the values in the above expression as
![\begin{gathered} t=(100-0)/(10) \\ =10\text{ s} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/ntmk0j99e01rp3lprovf89ig8mytm3dlbf.png)