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Answer :
To find the average speed required to accomplish the NFL Combine 40-yard dash record, we can follow these steps:
1. Understand the Given Information:
- The distance to cover is [tex]\(36.6\)[/tex] meters (this is the equivalent of 40 yards in meters).
- The time taken to cover this distance is [tex]\(4.21\)[/tex] seconds.
2. Use the Formula for Average Speed:
- The formula to calculate average speed is given by:
[tex]\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\][/tex]
3. Substitute the Given Values into the Formula:
- Plug in the distance of [tex]\(36.6\)[/tex] meters and the time of [tex]\(4.21\)[/tex] seconds into the formula:
[tex]\[
\text{Average Speed} = \frac{36.6 \, \text{meters}}{4.21 \, \text{seconds}}
\][/tex]
4. Calculate the Average Speed:
- When you divide [tex]\(36.6\)[/tex] meters by [tex]\(4.21\)[/tex] seconds, you get an average speed of approximately [tex]\(8.69\)[/tex] meters per second.
Thus, the average speed required to achieve the record time for the 40-yard dash is approximately [tex]\(8.69 \, \text{m/s}\)[/tex].
1. Understand the Given Information:
- The distance to cover is [tex]\(36.6\)[/tex] meters (this is the equivalent of 40 yards in meters).
- The time taken to cover this distance is [tex]\(4.21\)[/tex] seconds.
2. Use the Formula for Average Speed:
- The formula to calculate average speed is given by:
[tex]\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\][/tex]
3. Substitute the Given Values into the Formula:
- Plug in the distance of [tex]\(36.6\)[/tex] meters and the time of [tex]\(4.21\)[/tex] seconds into the formula:
[tex]\[
\text{Average Speed} = \frac{36.6 \, \text{meters}}{4.21 \, \text{seconds}}
\][/tex]
4. Calculate the Average Speed:
- When you divide [tex]\(36.6\)[/tex] meters by [tex]\(4.21\)[/tex] seconds, you get an average speed of approximately [tex]\(8.69\)[/tex] meters per second.
Thus, the average speed required to achieve the record time for the 40-yard dash is approximately [tex]\(8.69 \, \text{m/s}\)[/tex].
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