Question
A basketball was dropped out of a window on the second floor of a school onto the concrete below. Each time the ball hit the ground, it bounced ad reached a height that was half of the previous bounce. It continued until it settled on the ground. Describe the shape of the graph in words, if time is on the x-axis and height of the ball is on the y-axis.(1 point) Responses The graph would be a group of points at each height the basketball reaches. The graph would be a group of points at each height the basketball reaches. The graph would go up and down and then stop once the ball stopped bouncing. The graph would go up and down and then stop once the ball stopped bouncing. The graph would be a straight line with a negative slope. The graph would be a straight line with a negative slope. The graph would be a straight line with a negative slope.
Answers
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GPT-4o mini
The graph of the basketball's height over time would depict a series of peaks and valleys reflecting the bouncing motion of the ball. Initially, the ball drops from the window, rapidly decreasing in height to reach zero on the y-axis when it hits the ground. After impact, the ball bounces back up to a height that is half of the previous one, creating a peak on the graph that gradually diminishes with each subsequent bounce.
As time progresses along the x-axis, the graph would show the ball descending to the ground and then ascending to a lower height, repeatedly creating a pattern of spikes that taper off towards the x-axis. Eventually, the graph would settle close to the x-axis as the bounces become negligible, resulting in a series of points that form a decreasing, oscillating curve, which approaches (but never quite reaches) the ground level.
In summary, the graph would consist of a series of oscillating peaks that decrease in height over time, illustrating the diminishing bounce of the basketball until it eventually comes to rest on the ground.
As time progresses along the x-axis, the graph would show the ball descending to the ground and then ascending to a lower height, repeatedly creating a pattern of spikes that taper off towards the x-axis. Eventually, the graph would settle close to the x-axis as the bounces become negligible, resulting in a series of points that form a decreasing, oscillating curve, which approaches (but never quite reaches) the ground level.
In summary, the graph would consist of a series of oscillating peaks that decrease in height over time, illustrating the diminishing bounce of the basketball until it eventually comes to rest on the ground.