Final answer:
To convert km/h to m/s, you multiply by 1,000 and divide by 3,600, or multiply by 5/18. To convert m/s to km/h, multiply by 3,600 and divide by 1,000, or multiply by 3.6.
Step-by-step explanation:
To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply two conversion factors. First, you convert kilometers to meters, and second, you convert hours to seconds.
Since 1 kilometer is equal to 1,000 meters and 1 hour is equal to 3,600 seconds, you would multiply by 1,000 and then divide by 3,600 or simply multiply by the fraction 1,000/3,600.
The fraction 1,000/3,600 simplifies to 5/18, so the shortcut for converting km/h to m/s is to multiply by 5/18, or approximately 0.27778. Conversely, to convert from m/s to km/h, you would multiply the speed in m/s by 3,600 and divide by 1,000 or multiply by the fraction 3,600/1,000 which equals to 3.6.