Question

At the batting cages, a speed pitch machine will pitch a baseball at 65 miles per hour. How many inches per minute is such a pitch moving?

Answer 1

To convert the speed from miles per hour to inches per minute, we can follow these steps:

1. Convert miles to inches:
- There are 5280 feet in a mile.
- There are 12 inches in a foot.
- Therefore, there are \( 5280 \times 12 \) inches in a mile.

\[
5280 \text{ feet/mile} \times 12 \text{ inches/foot} = 63360 \text{ inches/mile}
\]

2. Convert hours to minutes:
- There are 60 minutes in an hour.

3. Now we can convert the pitch speed from miles per hour to inches per minute.
- We know the pitch speed is 65 miles per hour. Therefore, we first convert miles per hour to inches per hour, and then to inches per minute.

\[
65 \text{ miles/hour} \times 63360 \text{ inches/mile} = 4128000 \text{ inches/hour}
\]

4. Finally, convert inches per hour to inches per minute:

\[
\frac{4128000 \text{ inches/hour}}{60 \text{ minutes/hour}} = 68800 \text{ inches/minute}
\]

Thus, a pitch moving at 65 miles per hour is moving at **68800 inches per minute**.