Bounce Efficiency Showdown: Which Ball Reigns Supreme?

To determine which ball bounces with the most efficiency, we need to calculate the bounce efficiency for each ball. The bounce efficiency can be determined by dividing the height the ball bounces to by the height it was dropped from and then converting it into a percentage. We can use the following formula for efficiency: \[ \text{Efficiency} = \left( \frac{\text{Bounce Height}}{\text{Drop Height}} \right) \times 100 \% \] Now let's calculate the efficiency for each ball: 1. Ball dropped from 10m that bounces to a new height of 2m: \[ \text{Efficiency} = \left( \frac{2m}{10m} \right) \times 100\% = 20\% \] 2. Ball dropped from 12m that bounces to a new height of 10m: \[ \text{Efficiency} = \left( \frac{10m}{12m} \right) \times 100\% \approx 83.33\% \] 3. Ball dropped from 10m that bounces to a new height of 6m: \[ \text{Efficiency} = \left( \frac{6m}{10m} \right) \times 100\% = 60\% \] 4. Ball dropped from 12m that bounces to a new height of 6m: \[ \text{Efficiency} = \left( \frac{6m}{12m} \right) \times 100\% = 50\% \] Comparing the efficiencies: - Ball 1: 20% - Ball 2: 83.33% - Ball 3: 60% - Ball 4: 50% The ball with the most efficiency is the one dropped from 12m that bounces to a new height of 10m, with an efficiency of approximately 83.33%.