To calculate the speed of the sprinter in meters per second (m/s), we need to follow these steps:
1. Identify the distance and time:
- The distance the sprinter runs is 100 meters.
- The time taken to cover this distance is 12.5 seconds.
2. Use the formula for speed:
- The formula to calculate speed is given by:
[tex]\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\][/tex]
3. Substitute the values into the formula:
- Here, the distance (d) is 100 meters and the time (t) is 12.5 seconds.
- Therefore:
[tex]\[
\text{Speed} = \frac{100 \text{ meters}}{12.5 \text{ seconds}}
\][/tex]
4. Perform the division:
- Dividing 100 meters by 12.5 seconds gives us:
[tex]\[
\text{Speed} = 8.0 \text{ meters per second (m/s)}
\][/tex]
Hence, the speed of the sprinter is 8.0 meters per second (m/s).