IF A RUNNER RUNS THE 100 METER DASH IN APPROXIMATELY 9.7 SEC, WHAT IS THE AVERAGE SPEED OF THE RUNNER IN MPH?

V=100m/9.7s * 3600s/h *(1/1600)mi/m = 23.2mi/h.

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To calculate the average speed, we need to convert the measurement from seconds per meter to miles per hour.

1 mile = 1609.34 meters
1 hour = 3600 seconds

Step 1: Convert the time from seconds to hours:
9.7 seconds = 9.7/3600 hours (approximately 0.0026944 hours)

Step 2: Calculate the distance in miles:
100 meters = 100/1609.34 miles (approximately 0.0621371 miles)

Step 3: Divide the distance by the time to find the average speed in miles per hour:
Average speed = 0.0621371 miles / 0.0026944 hours

Calculating the average speed, we find that the runner's average speed is approximately 23.03 miles per hour.

To find the average speed of the runner in miles per hour (mph), we need to convert the 100 meter distance and the time from seconds to miles and hours respectively.

First, let's convert the distance from meters to miles. We know that 1 mile is equal to 1609.34 meters. Therefore, we can use the following conversion factor:

1 mile = 1609.34 meters

To convert 100 meters to miles, we divide it by 1609.34:

100 meters / 1609.34 = 0.062137 miles

Now, let's convert the time from seconds to hours. We know that 1 hour is equal to 3600 seconds. Therefore, we can use the following conversion factor:

1 hour = 3600 seconds

To convert 9.7 seconds to hours, we divide it by 3600:

9.7 seconds / 3600 = 0.002694 hours

Now that we have the distance in miles (0.062137 miles) and the time in hours (0.002694 hours), we can find the average speed in mph by dividing the distance by the time:

Average speed = Distance / Time
Average speed = 0.062137 miles / 0.002694 hours

Calculating this, we get:

Average speed ≈ 22.997 mph

Therefore, the average speed of the runner in the 100-meter dash is approximately 22.997 mph.