Question

# A train takes 2 h to reach station B from station A, and then 3 h to return from station B to station A. The distance between the two stations is 200 km. Find : (i) the average speed, (ii) the average velocity of the train.

Solution

## Total distance   $$D = 200+200 = 400\ km$$Average speed    $$|V_{avg}| = \dfrac{Total \ distance}{Total \ time}$$$$\therefore \ |V_{avg}| = \dfrac{400}{2+3} = 80 \ km/h$$Displacement   $$S = 0$$Average velocity  $$V_{avg} = \dfrac{Total \ displacement}{Total \ time}$$$$\therefore \ V_{avg} = \dfrac{0}{2+3} = 0 \ km/h$$Physics

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