Final answer:
To convert 15 meters per second to kilometers per hour, you multiply by 3600 to convert seconds to hours, then divide by 1000 to convert meters to kilometers, which equals 54 km/h. The correct option is a.
Step-by-step explanation:
To convert a speed from meters per second (m/s) to kilometers per hour (km/h), you need to use two conversion factors. One conversion factor is for hours to seconds, and the other is for kilometers to meters.
There are 3600 seconds in an hour (since there are 60 minutes in an hour and 60 seconds in a minute, so 60 x 60 = 3600). There are 1000 meters in a kilometer. So, to convert from m/s to km/h, you can multiply the speed in m/s by 3600 to convert seconds to hours and then divide by 1000 to convert meters to kilometers.
The conversion formula is: speed (km/h) = speed (m/s) × 3600 s/h / 1000 m/km
Applying this to 15 m/s:
speed (km/h) = 15 m/s × 3600 s/h / 1000 m/km = 54 km/h
Therefore, the conversion of 15 m/s to km/h is 54 km/h. The correct option is a.