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Ankit moves 5m East, then turns South and moves 10m. He turns West and moves 5m. How far is he from the starting point?
10m
5m
15m
20m
10m
Visualize the path as a rectangle; since the East and West movements cancel out horizontally, the net displacement is simply the Southward movement.
Visualize the path as a rectangle; since the East and West movements cancel out horizontally, the net displacement is simply the Southward movement.
Define Coordinates
Starting at origin (0,0). Move 5m East: (+5, 0). Move 10m South: (+5, -10). Move 5m West: (+5-5, -10) = (0, -10).
Calculate Displacement
The final position is (0, -10). The distance from (0,0) to (0, -10) is the square root of (0-0) squared + (-10-0) squared, which equals 10m.
B: 5m is incorrect because it ignores the 10m Southward displacement. C: 15m is incorrect as it implies adding all paths without considering the vector cancellation of East-West. D: 20m is incorrect as it represents the total distance traveled, not the net displacement.
A is correct because the horizontal movements of 5m East and 5m West cancel each other out, leaving only the 10m vertical displacement toward the South.
Always track displacement as net movement in X and Y directions; total distance is scalar, whereas displacement is the straight-line shortest path.
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