Answer :
To convert a speed from kilometers per hour (km/h) to meters per second (m/s), you can use a simple conversion factor. Here's a step-by-step explanation:
1. Understand the Conversion Factor:
- We know that 1 kilometer is equal to 1000 meters, and 1 hour is equal to 3600 seconds.
- Thus, 1 km/h is equivalent to [tex]\( \frac{1000 \text{ meters}}{3600 \text{ seconds}} \)[/tex].
- Simplifying this fraction, 1 km/h equals approximately [tex]\( \frac{1}{3.6} \)[/tex] m/s.
2. Convert the Given Speed:
- You have a speed of 100.8 km/h that you need to convert to m/s.
- To do this, divide the speed in km/h by the conversion factor of 3.6.
3. Perform the Calculation:
- Divide 100.8 by 3.6:
[tex]\[
\text{Speed in m/s} = \frac{100.8}{3.6} = 28.0 \text{ m/s}
\][/tex]
Therefore, a speed of 100.8 km/h is equal to 28.0 m/s.
1. Understand the Conversion Factor:
- We know that 1 kilometer is equal to 1000 meters, and 1 hour is equal to 3600 seconds.
- Thus, 1 km/h is equivalent to [tex]\( \frac{1000 \text{ meters}}{3600 \text{ seconds}} \)[/tex].
- Simplifying this fraction, 1 km/h equals approximately [tex]\( \frac{1}{3.6} \)[/tex] m/s.
2. Convert the Given Speed:
- You have a speed of 100.8 km/h that you need to convert to m/s.
- To do this, divide the speed in km/h by the conversion factor of 3.6.
3. Perform the Calculation:
- Divide 100.8 by 3.6:
[tex]\[
\text{Speed in m/s} = \frac{100.8}{3.6} = 28.0 \text{ m/s}
\][/tex]
Therefore, a speed of 100.8 km/h is equal to 28.0 m/s.
