Physics

1. Analyze the ball's upward motion

Let the air resistance force be . When the ball is moving upward, the net force acting on the ball is (taking the upward direction as positive), and the acceleration

 

Using the equation , when the ball reaches its maximum height , the initial velocity is given, and the displacement (upward) is what we want to find. So , and

 

2. Analyze the ball's downward motion

When the ball is moving downward, the net force acting on the ball is , and the acceleration

 

The ball falls from the maximum height back to the ground. Using the equation again, now the initial velocity (at the top), the displacement is (downward), and the final velocity . So

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