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 that is dropped to the ground and caught when it bounces up again, we can use a coordinate plane with time on the x-axis and height on the y-axis.
To begin, we can assume that the ball is dropped from a certain initial height. As the ball falls towards the ground, its height decreases. We can plot these points on the graph by recording the time and corresponding height at regular intervals. Initially, the ball would be at its highest point on the graph, where the y-coordinate represents its initial height.
When the ball hits the ground, it will bounce back up. The height it reaches on the rebound will be lower than its initial height due to energy loss during the bounce. We can again record the time and height at regular intervals as the ball rises.
To complete the graph, we will have two sections: one for the ball falling towards the ground and one for the ball rising after bouncing. The shape of the graph will be a downward sloping line followed by an upward sloping line.
By representing this scenario on a graph, we can visualize the ball's changing height over time, capturing its motion as it falls, bounces, and rises.