To determine which pitcher had the higher average speed, we first need to calculate the average time it took each pitcher to throw the balls. Then we can calculate their average speeds.
Lou's Times:
- 1.2 s
- 2.0 s
- 3.1 s
- 2.5 s
Average Time for Lou: \[ \text{Average Time} = \frac{(1.2 + 2.0 + 3.1 + 2.5)}{4} = \frac{8.8}{4} = 2.2 \text{ s} \]
Average Speed for Lou: Using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] \[ \text{Speed} = \frac{15 \text{ m}}{2.2 \text{ s}} \approx 6.82 \text{ m/s} \]
Jamie's Times:
- 1.7 s
- 2.3 s
- 3.0 s
- 2.2 s
Average Time for Jamie: \[ \text{Average Time} = \frac{(1.7 + 2.3 + 3.0 + 2.2)}{4} = \frac{9.2}{4} = 2.3 \text{ s} \]
Average Speed for Jamie: \[ \text{Speed} = \frac{15 \text{ m}}{2.3 \text{ s}} \approx 6.52 \text{ m/s} \]
Conclusion:
Now we can compare the average speeds:
- Lou: Approximately 6.82 m/s
- Jamie: Approximately 6.52 m/s
Result: Lou was the better pitcher with an average speed of approximately 6.82 m/s.
The responses provided do not correctly represent the average speeds calculated here.