Question

Show that 1.0 m/s = 3.6 km/h . Hint: Show the explicit steps involved in converting 1.0 m/s = 3.6 km/h.

Answer 1

To convert 1.0 m/s to km/h, multiply by the number of seconds in one hour (3600) and divide by the number of meters in one kilometer (1000), which results in 3.6 km/h.

Step-by-step explanation:

To convert 1.0 m/s into km/h, we need to relate meters to kilometers and seconds to hours. There are 1,000 meters in a kilometer and 3,600 seconds in an hour. As per the conversion formula, when converting m/s to km/h, multiply by 3,600 and divide by 1,000.

Here's the step-by-step calculation:

1. Start with the speed in m/s: 1.0 m/s.
2. Multiply by the number of seconds in an hour to convert seconds to hours: 1.0 m/s × 3600 s/h = 3600 m/h.
3. Finally, divide by the number of meters in a kilometer to convert meters to kilometers: 3600 m/h ÷ 1000 m/km = 3.6 km/h.

Therefore, the speed of 1.0 m/s is equivalent to 3.6 km/h.

Answer 2

Just multiply the "1.0 m/s" by ' 1 ' a few times. (Remember that a fraction with the same quantity on top and bottom is equal to ' 1 ' .)

(1.0 m/sec) · (1 km/1000 m) · (60 sec/min) · (60 min/hr) =

(1.0 · 60 · 60 / 1,000) (m · km · sec · min / sec · m · min · hr) =

(3,600 / 1,000) (km / hr) =

3.6 km/hr .