To convert a speed from meters per second (m/s) to kilometers per hour (km/h), you need to follow these steps:
1. Understand the conversion factors:
- 1 kilometer (km) is equal to 1,000 meters (m).
- 1 hour (h) is equal to 3,600 seconds (s).
2. Know that to convert from meters per second to kilometers per hour, you multiply by a factor of \(\frac{3,600 \text{s}}{1 \text{h}}\) divided by \(\frac{1,000 \text{m}}{1 \text{km}}\), which simplifies to 3.6. Essentially, this means you are scaling up the speed to account for the larger unit of kilometers and the larger unit of hours.
3. Apply this scaling factor to the given speed:
- Given speed is \(105 \frac{m}{s}\).
So, multiply \(105 \frac{m}{s}\) by 3.6:
[tex]\[
105 \frac{m}{s} \times 3.6 = 378 \frac{km}{h}
\][/tex]
Thus, [tex]\(105 \frac{m}{s}\)[/tex] is equal to [tex]\(378 \frac{km}{h}\)[/tex].
