Answer:
2.55 s
Step-by-step explanation:
To know how long does it take to rise, we will use the following equation:
![v_f=v_i+at](https://img.qammunity.org/2023/formulas/physics/high-school/yxm1yp44fgtsrbcjt56jf0kd9wk2fizuri.png)
Where:
vf is the final velocity, so at the highest point is 0 m/s
vi is the initial velocity, in this case, 25 m/s
a is the acceleration due to gravity, so a = 9.8 m/s²
And t is the time that it takes to rise.
Therefore, we can replace the values and solve for t as:
![\begin{gathered} 0=25-9.8t \\ 9.8t=25 \\ t=(25)/(9.8) \\ t=2.55\text{ s} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/1pzmz8dj8evzk8x7dd3kh86iw3wlv62qu8.png)
So, the answer is 2.55 s