A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest taxi driver takes him along a circuitous path 23 km long and reaches the hotel in 28 minutes.
(a) the average speed of the taxi?
(b) the magnitude of average velocity? Are the two equal?
Magnitude of displacement = 10 km
Total path length = 23 km
Time taken = 28 min = 7/15 hr.
Magnitude of average velocity is,
Therefore, we can see that the average speed and magnitude of average velocity are not equal.