10 meters/second is equal to 36 kilometers/hour.
Given - one kilometer is equal to 1000 meters
1 hour is equal to 3600 seconds
To find - convert the value from meters/second to kilometers/hour
Solution -
1 kilometer = 1000 meters
1 hour = 3600 seconds
To convert from meters/second to kilometers/hour, you need to divide the value in meters/second by 1000 to convert it to kilometers and then multiply by 3600 to convert seconds to hours.
Let's say the value in meters/second is v m/s. The conversion formula would be:
v (m/s) * (1 km / 1000 m) * (3600 s / 1 hour)
Simplifying the expression, we have:
v * 1 * 3600 / (1000 * 1) km/h
This simplifies to:
v * 3.6 km/h
Therefore, to convert from meters/second to kilometers/hour, multiply the value in meters/second by 3.6.
For example, if you have a speed of 10 m/s:
10 m/s * 3.6 = 36 km/h
So, 10 meters/second is equal to 36 kilometers/hour.