What happens to the speed value when converting from m/s to km/h?

When converting speed from meters per second (m/s) to kilometers per hour (km/h), the value increases by a factor of 3.6. This is because there are 1,000 meters in one kilometer and 3,600 seconds in one hour.

To illustrate the conversion mathematically, we can consider the following:

1. Start with the speed in m/s.

2. To convert from meters to kilometers, you divide the number of meters by 1,000. This accounts for the kilometer conversion.

3. To convert from seconds to hours, you multiply the number of seconds by 3,600, since one hour is equal to 3,600 seconds.

Putting these two conversions together, the conversion factor from m/s to km/h can be represented as follows:

[

\text{Speed in km/h} = \text{Speed in m/s} \times \left(\frac{3600 \text{ s}}{1000 \text{ m}}\right) = \text{Speed in m/s} \times 3.6

]

Thus, when you multiply the speed value in m/s by 3.6, you obtain the equivalent speed value in km