Final answer:
To convert 180 km/h to m/s, multiply 180 by 1000 to convert kilometers to meters, then divide by 3600 to convert hours to seconds, resulting in 50 m/s.
Step-by-step explanation:
To convert 180 km/h to m/s using dimensional analysis, you will need to apply two conversion factors. The first conversion factor is needed to convert kilometers to meters, and the second is required to convert hours to seconds.
- Starting with the speed in km/h, you multiply by 1000 m (because there are 1000 meters in one kilometer).
- Then you divide by 3600 seconds (since there are 3600 seconds in one hour).
Thus, by converting and simplifying, the steps are as follows:
180 km/h × 1000 m/1 km × 1 h/3600 s = 50 m/s
Therefore, 180 km/h is equal to 50 m/s.