Question

Show that 1.0 m/s=3.6 km/h.

a) 1.0 m/s = 0.36 km/h
b) 1.0 m/s = 36 km/h
c) 1.0 m/s = 3.6 km/h
d) 1.0 m/s = 360 km/h

Answer 1

By converting meters to kilometers and seconds to hours, it is demonstrated that 1.0 m/s is equivalent to 3.6 km/h through a straightforward conversion process involving multiplication by 3600 and division by 1000.

Step-by-step explanation:

To show that 1.0 m/s equals 3.6 km/h, we need to convert meters per second (m/s) to kilometers per hour (km/h). The steps for the conversion are as follows:

1. Start with the speed in meters per second: 1.0 m/s.
2. Since there are 1000 meters in a kilometer, and there are 3600 seconds in an hour, you can use the conversion factor to convert from m/s to km/h.
3. Multiply by the number of seconds in an hour: 1.0 m/s × 3600 s/h = 3600 meters/hour (since 1 hour = 3600 seconds).
4. Now, divide by the number of meters in a kilometer: 3600 meters/hour ÷ 1000 m/km = 3.6 km/h.

Therefore, we have shown that 1.0 m/s is equivalent to 3.6 km/h.