To convert a speed from kilometers per hour (km/h) to meters per second (m/s), we use the conversion factor that relates these two units of measurement.
Here is a step-by-step process to perform the conversion:
1. Understand the conversion factor:
- 1 kilometer is equal to 1000 meters.
- 1 hour is equal to 3600 seconds.
Therefore, 1 km/h is equivalent to (1000 meters) / (3600 seconds), which simplifies to [tex]\( \frac{1000}{3600} \)[/tex] m/s. This conversion factor is approximately 0.27778.
2. Apply the conversion factor:
- Given speed = 30 km/h
- To convert to m/s, multiply the given speed by the conversion factor.
3. Calculation:
[tex]\[
\text{Speed in m/s} = 30 \, \text{km/h} \times \frac{1000}{3600} \, \text{m/s per km/h}
\][/tex]
4. Simplified calculation:
[tex]\[
\text{Speed in m/s} = 30 \times 0.27778 \, \text{m/s}
\][/tex]
5. Result:
[tex]\[
\text{Speed in m/s} = 8.333333333333334 \, \text{m/s}
\][/tex]
To match this with the given options:
A. 0.0000083
B. 1.80
C. 8.33
D. 10
The closest and correct answer is:
C. 8.33
