To determine how far you can run in 30 seconds if your average speed is [tex]\(7\)[/tex] meters per second, we will use the relationship between speed, time, and distance.
1. Identify the known values:
- Speed ([tex]\(v\)[/tex]): [tex]\(7\)[/tex] meters per second ([tex]\(m/s\)[/tex])
- Time ([tex]\(t\)[/tex]): [tex]\(30\)[/tex] seconds
2. Recall the formula to find distance when speed and time are known:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
3. Substitute the known values into the formula:
[tex]\[
\text{Distance} = 7 \, m/s \times 30 \,s
\][/tex]
4. Calculate the distance:
[tex]\[
\text{Distance} = 210 \, \text{meters}
\][/tex]
Therefore, if you run at an average speed of [tex]\(7\)[/tex] meters per second, you can run [tex]\(210\)[/tex] meters in [tex]\(30\)[/tex] seconds.
