To find the time it takes for the ball to reach its highest point, we can use the kinematic equation for vertical motion. The equation is:
v = u + at
Where: v = final velocity (at the highest point, the final velocity is 0 m/s) u = initial velocity (25 m/s, upward) a = acceleration (in this case, due to gravity, -9.8 m/s², negative because it acts downward) t = time
Using this equation, we can rearrange it to solve for time (t):
0 = 25 - 9.8t
9.8t = 25
t = 25 / 9.8
t ≈ 2.55 seconds
Therefore, it takes approximately 2.55 seconds for the ball to reach its highest point.