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A man starts from point A and walks 10m East, then turns South and walks 5m, then turns West and walks 10m. How far is he from point A?
10m
5m
15m
0m
5m
Visualize a rectangle path: walking 10m East and then 10m West cancels out the horizontal distance, leaving only the vertical movement.
Visualize a rectangle path: walking 10m East and then 10m West cancels out the horizontal distance, leaving only the vertical movement.
Mapping the path
Starting at origin (0,0). Move 10m East: Position is (10,0). Move 5m South: Position is (10,-5). Move 10m West: Position is (10тИТ10, -5), which equals (0,-5).
Calculating displacement
The final position is (0,-5) relative to point A (0,0). The vertical distance from the x-axis is the absolute value of -5, which is 5m.
A: 10m is the horizontal distance travelled but does not account for the vertical displacement. C: 15m is the sum of East and South movements only, ignoring the return path West. D: 0m assumes the person returned to the exact starting point, but they remain 5m South of point A.
B is correct because the 10m East and 10m West movements neutralize each other, leaving only the 5m South displacement from the starting point.
When displacement involves multiple turns, draw a small coordinate plane to track X and Y axis changes separately to avoid errors.