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:
[tex]\text{speed}=\frac{\text{distance}}{\text{time}}[/tex]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
[tex]100\text{yards}=\frac{100}{1760}\text{miles=0.0568 miles}[/tex]• Time.
Where:
1 hour = 3600 seconds
[tex]9\text{seconds}=\frac{9}{3600}=0.0025\text{ hour}[/tex]The distance in miles is 0.0568 miles.
The time in hours is 0.0025 hour.
Hence, to find the average speed we have:
[tex]\text{speed}=\frac{\text{distance}}{\text{time}}=\frac{0.0568\text{ miles}}{0.0025\text{ hour}}=22.72\text{ mph}[/tex]Therefore, the average speed in miles per hour is 22.72 miles per hour.
ANSWER:
22.72 mph