Question

On a school baseball diamond the distance from the pitchers mound to home plate is about 15 m data for the pitching speed of two pitchers is Lou’s times were a.2s 2.0s 3.1 s 2.5 s JAmie’s times were 1.7s 2.3 s 3.0 s 2.2 s who was the better pitcher and what was their average speed

Answer 1

To determine which pitcher is better and to calculate their average pitching speed, we can start by analyzing the times each pitcher took to throw the ball from the pitcher's mound to home plate.

### Lou's Times:
- 2.0 s
- 3.1 s
- 2.5 s
- 2.2 s

**Average Time for Lou:**

\[
\text{Average time} = \frac{(2.0 + 3.1 + 2.5 + 2.2)}{4} = \frac{9.8}{4} = 2.45 \text{ s}
\]

### Jamie's Times:
- 1.7 s
- 2.3 s
- 3.0 s
- 2.2 s

**Average Time for Jamie:**

\[
\text{Average time} = \frac{(1.7 + 2.3 + 3.0 + 2.2)}{4} = \frac{9.2}{4} = 2.30 \text{ s}
\]

### Conclusion:
From the average times calculated:
- Lou's average time: **2.45 s**
- Jamie's average time: **2.30 s**

**Better Pitcher:** Jamie, since she had the lower average time.

### Calculating Average Speed:
To calculate the average speed of each pitcher, we use the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

The distance from the pitcher's mound to home plate is **15 m**.

**Lou's Average Speed:**

\[
\text{Speed} = \frac{15 \text{ m}}{2.45 \text{ s}} \approx 6.12 \text{ m/s}
\]

**Jamie's Average Speed:**

\[
\text{Speed} = \frac{15 \text{ m}}{2.30 \text{ s}} \approx 6.52 \text{ m/s}
\]

### Summary:
- **Better Pitcher:** Jamie
- **Lou's Average Speed:** approximately **6.12 m/s**
- **Jamie's Average Speed:** approximately **6.52 m/s**