Given:
Distance covered, d = 100 yards
Time, t = 9.0 seconds
Let's find the average speed in miles per hour.
To find the average speed, apply the formula:
![\text{speed}=\frac{\text{distance}}{\text{time}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4uapyzw2lr2nwn52vb8fn6cxoaihw6hb67.png)
Since, we are to find the average speed in miles per hour, we are to convert the distance from yards to miles and time from seconds to hours.
We have:
• Distance.
Where:
1 mile = 1760 yards
![100\text{yards}=(100)/(1760)\text{miles=0.0568 miles}](https://img.qammunity.org/2023/formulas/physics/college/kz5mdye6q3m8nx9iaiakoh4ubjjzvh5eyd.png)
• Time.
Where:
1 hour = 3600 seconds
![9\text{seconds}=(9)/(3600)=0.0025\text{ hour}](https://img.qammunity.org/2023/formulas/physics/college/7apy3tn9i525cauzois801ai4n91yxv4s6.png)
The distance in miles is 0.0568 miles.
The time in hours is 0.0025 hour.
Hence, to find the average speed we have:
![\text{speed}=\frac{\text{distance}}{\text{time}}=\frac{0.0568\text{ miles}}{0.0025\text{ hour}}=22.72\text{ mph}](https://img.qammunity.org/2023/formulas/physics/college/2hsu4h1jmtjt2tpz2nrutb6hvw8yvvqa1e.png)
Therefore, the average speed in miles per hour is 22.72 miles per hour.
ANSWER:
22.72 mph