To convert a speed from kilometers per hour (km/h) to meters per second (m/s), you need to use the appropriate conversion factor between these two units.
Here’s the step-by-step process:
1. Understand the conversion factor:
- The conversion factor from kilometers per hour to meters per second is [tex]\(1 \, \text{km/h} = 0.27778 \, \text{m/s}\)[/tex].
2. Given speed:
- The given speed is [tex]\(30 \, \text{km/h}\)[/tex].
3. Multiply the given speed by the conversion factor:
- To convert [tex]\(30 \, \text{km/h}\)[/tex] to meters per second, you multiply it by the conversion factor [tex]\(0.27778 \, \text{m/s per km/h}\)[/tex].
[tex]\[
30 \, \text{km/h} \times 0.27778 \, \text{m/s per km/h} = 8.3334 \, \text{m/s}
\][/tex]
4. Conclusion:
- Therefore, [tex]\(30 \, \text{km/h}\)[/tex] is equivalent to [tex]\(8.3334 \, \text{m/s}\)[/tex].
Thus, the speed of [tex]\(30 \, \text{km/h}\)[/tex] converts to [tex]\(8.3334 \, \text{m/s}\)[/tex].
