How do we represent the graph for a ball which is dropped to the ground and caught when it bounces up again?

To represent the graph for a ball being dropped to the ground and caught when it bounces up again, we can use a position-time graph.

1. Start by setting up the coordinates. The y-axis represents the position of the ball, and the x-axis represents the time.

2. Mark the initial position of the ball at the top of the graph. This is the height from which the ball is dropped.

3. As the ball falls towards the ground, its position will decrease with time. Plot a downward sloping line that represents the ball's descent.

4. Once the ball hits the ground, it will bounce back up. Mark the point at which the ball hits the ground on the graph.

5. From that point, draw an upward sloping line to represent the ball's ascent.

6. Eventually, the ball will reach its maximum height, which will be lower than the initial height. Mark this point on the graph.

7. From the maximum height, draw a downward sloping line to represent the ball falling again.

8. Continue this pattern of upward and downward sloping lines as the ball bounces up and down until it is caught.

By representing the ball's position at different points in time, the graph provides a visual representation of the ball's motion as it is dropped, bounces, and is caught.