A train is traveling at 50 m/s. What is this speed in kilometers per hour?

Study for the NCEA Level 2 Mechanics Test. Use flashcards and multiple choice questions, each with hints and explanations. Prepare for success!

To convert the speed from meters per second to kilometers per hour, you can use the conversion factor where 1 meter per second is equal to 3.6 kilometers per hour. This is derived from the fact that there are 1000 meters in a kilometer and 3600 seconds in an hour.

Starting with the speed of the train:

  1. Given speed = 50 m/s.

  2. To convert this speed to kilometers per hour, multiply by 3.6:

( 50 , \text{m/s} \times 3.6 , \text{km/h per m/s} = 180 , \text{km/h} ).

Thus, the train's speed of 50 m/s is equivalent to 180 kilometers per hour. This conversion shows the relationship between these two units of speed and effectively demonstrates how to perform unit conversions in physics.

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