Final Answer:
The rebound ratio for the ball is approximately 0.8. This is determined by dividing the rebound height by the drop height for each data set. The average of these ratios yields the overall rebound ratio.
Explanation:
The rebound ratio is calculated by dividing the rebound height by the drop height. In this case, for each drop height, the corresponding rebound height is divided by the drop height to find the rebound ratio.
Rebound Ratio = (Rebound Height) / (Drop Height)
Let's take the first set of data as an example:
Rebound Ratio = 124 cm / 150 cm ≈ 0.8267
Similarly, the rebound ratios for the other drop heights are calculated:
- For 70 cm: 100 cm / 120 cm ≈ 0.8333
- For 100 cm: 83 cm / 110 cm ≈ 0.7545
- For 40 cm: 33 cm / 59 cm ≈ 0.5593
Now, to find the overall rebound ratio, we can take the average of these calculated ratios:
(0.8267 + 0.8333 + 0.7545 + 0.5593) / 4 ≈ 0.7935
Therefore, the final answer is that the rebound ratio for their ball is approximately 0.8.
In conclusion, the rebound ratio provides insight into how efficiently the ball bounces back relative to the drop height. In this experiment, the average rebound ratio of 0.8 suggests that, on average, the ball rebounds to 80% of the height from which it was dropped. This information is valuable in understanding the ball's elastic properties and can be used to analyze its performance in various scenarios.