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A person moves 5m East, then 12m South. What is the displacement from the starting point?
17m
7m
13m
15m
13m
Apply Pythagoras theorem directly: square both distances, add them up, and find the square root (5-12-13 right-angled triangle triplet).
Apply Pythagoras theorem directly: square both distances, add them up, and find the square root (5-12-13 right-angled triangle triplet).
Visualize Movement
The person starts from an origin point, moves 5 meters towards the East along the X-axis, and then turns and moves 12 meters towards the South along the Y-axis, forming a right-angled triangle where the two legs are 5m and 12m.
Apply Pythagoras Theorem
Displacement is the straight-line shortest distance from the starting point to the final position. Calculate it as the hypotenuse: square root of (5 squared + 12 squared), which equals square root of (25 + 144) = square root of 169 = 13 meters.
A: 17m is incorrect because it mistakenly adds the distances (5 + 12) instead of calculating the shortest displacement. B: 7m is incorrect because it subtracts the distances (12 - 5). D: 15m is incorrect arithmetic and does not fit the 5-12-13 Pythagorean triplet.
C is correct because the shortest displacement calculated via Pythagoras theorem for legs of 5m and 12m is exactly 13m.
Always memorize common Pythagorean triplets like 3-4-5, 5-12-13, and 8-15-17 to instantly solve direction sense displacement questions within seconds.
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