Bouncing Efficiency: Comparing the Performance of Four Different Balls

To determine which ball bounces with the most efficiency, you can compare the coefficient of restitution (the ratio of the rebound height to the original drop height) for each scenario. The coefficient of restitution (e) is given by \( e = \frac{\text{rebound height}}{\text{initial height}} \). Now, let's calculate the coefficient of restitution for each option: a. \( e = \frac{6m}{12m} = 0.5 \) b. \( e = \frac{6m}{10m} = 0.6 \) c. \( e = \frac{10m}{12m} \approx 0.83 \) d. \( e = \frac{2m}{10m} = 0.2 \) The ball with the highest coefficient of restitution, indicating the most efficient bounce, is option c: a ball dropped from 12m that bounces to a new height of 10m, with a coefficient of 0.83.