To determine the time it takes for a ball to reach its maximum height when thrown upward, we need to consider the initial velocity and the acceleration due to gravity. Assuming there is no air resistance, the acceleration due to gravity is approximately 9.8 meters per second squared (9.8 m/s²).
When the ball reaches its maximum height, its vertical velocity becomes zero before it starts falling back down. This means that the initial velocity will decrease by 9.8 m/s each second until it reaches zero.
To find the time it takes to reach the maximum height, we can use the following formula:
Time = (Final Velocity - Initial Velocity) / Acceleration
In this case, the initial velocity is +25 m/s (upward) and the final velocity is 0 m/s (at the maximum height). The acceleration is -9.8 m/s² (negative because it acts in the opposite direction to the initial velocity). Plugging these values into the formula, we get:
Time = (0 - 25) / (-9.8) = 25 / 9.8 ≈ 2.55 seconds
Therefore, it will take approximately 2.55 seconds for the ball to reach its maximum height.