Distance and displacement may or may not be equal in magnitude. Explain this statement.?
Answered by Sir Yahya
Questions I read:
1. Distance and displacement may or may not be equal in magnitude. Explain this statement.
Group 1 - Explanation of Distance and Displacement Equality - covers Q1
Answer:
Distance is the total path covered, while displacement is the shortest straight-line distance between the initial and final points.
* **Equal Magnitude:** Distance and displacement are equal in magnitude only when an object moves in a straight line in one direction. For example, if a car travels 5 km straight from point A to point B, both its distance and displacement are 5 km.
* **Unequal Magnitude:** If an object changes its direction or moves along a curved path, the distance covered will be greater than the magnitude of its displacement. For example, if a car travels 3 km east and then 4 km north, its total distance is 7 km, but its displacement (shortest path from start to end) is 5 km.
Also suits: When is distance equal to displacement? When is distance greater than displacement?
Memory tip: Straight path = equal; Any turn or curve = distance > displacement.
Quick check: If you walk around a square park and come back to your starting point, what is your displacement?