Question

A car is traveling at a rate of 9 meters per second. What is the car's rate in kilometers per hour?

Answer 1

A car traveling at 9 meters per second converts to 32.4 kilometers per hour, by multiplying the speed in meters per second by the number of seconds in an hour and then converting meters to kilometers.

Step-by-step explanation:

To convert the rate of a car from meters per second to kilometers per hour, we need to use the relationship between these two units of speed. We know that 1 meter is equal to 0.001 kilometers and that 1 hour is equal to 3600 seconds. Therefore, to convert a speed from meters per second to kilometers per hour, we multiply by the conversion factors:

Speed in km/h = (Speed in m/s) × (3600 s/h) × (0.001 km/m)

Step-by-Step Conversion

1. Multiply the speed in meters per second by the number of seconds in an hour (3600) to get the distance in meters per hour:
   9 m/s × 3600 s/h = 32400 m/h.
2. Convert the distance from meters to kilometers by multiplying the result by the conversion factor from meters to kilometers (0.001):
   32400 m/h × 0.001 km/m = 32.4 km/h.

Therefore, a car traveling at a rate of 9 meters per second is traveling at a rate of 32.4 kilometers per hour.