Answer:
2.55 s
Explanation:
To know how long does it take to rise, we will use the following equation:
[tex]v_f=v_i+at[/tex]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:
[tex]\begin{gathered} 0=25-9.8t \\ 9.8t=25 \\ t=\frac{25}{9.8} \\ t=2.55\text{ s} \end{gathered}[/tex]So, the answer is 2.55 s