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A car starts from Bengaluru, goes 50 km in a straight line towards the south, immediately turns around and returns to Bengaluru. The time taken for this round trip is 2 hours the magnitude of the average velocity of the car for this round trip.
Explanation
Average velocity is defined as the total displacement divided by the total time taken. Displacement is a vector quantity that measures the shortest straight-line distance between the initial and final positions. In this scenario, the car starts at Bengaluru, travels 50 km south, and immediately returns to the same starting point. Because the car ends its journey exactly where it began, its final position is identical to its initial position, resulting in a total displacement of zero. Even though the car covered a total distance of 100 km, average velocity depends solely on displacement [1]. Dividing the zero displacement by the 2-hour time interval yields an average velocity of 0 km/hr. This distinguishes average velocity from average speed, which would be 50 km/hr in this case as it accounts for total distance [1].
Sources
- [1] https://www.khanacademy.org/science/in-in-class-11-physics-cbse-hindi/in-in-11-motion-in-a-straight-line-hindi/average-velocity-and-average-speed-hindi/a/review-article-velocity-speed-no-graphs