In this problem we know that the initial velocity in the horizontal axis is 25, however the initial velocity in the y axis will be o so we can use this equation:

So to find the time the object get the grownd we can replace the initial high for 5 miter, the final one for 0 and the aceleration by -9.8 (gravity) so:

and we solve for t so:
![\begin{gathered} 9.8t^2=5\cdot2 \\ t^2=(10)/(9.8) \\ t\approx\sqrt[]{1} \\ t\approx1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ncfknjwizd2e0lg10asvc39yb10vzun9o3.png)
So the projectil takes one secon to hit the grownd