question_answer 11)

A passenger arriving in a new town wishes to go from the station to a hotel located 10km away on a straight road from the station. A dishonest cabman takes him along a circuitous path 23 km long and reaches the hotel in 28 minutes. What is (i) the average speed of the taxi and (ii) the magnitude of average velocity ? Are the two equal ? 

Answer:

Magnitude of displacement = 10 km Total path length =23 km Time taken   (i) Average speed . (ii) Magnitude of average velocity . Clearly, the average speed and magnitude of the average velocity are not equal. They will be equal only for straight path.