Walk 15 m North, then 10 m West, then 5 m South, then 10 m East. From the starting point, in which direction are you now located?
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AEast
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BWest
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CNorth
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DSouth
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ENone of these
Answer
Correct Answer: North
Explanation
Introduction / Context:This is a straightforward net displacement computation with axis-aligned legs. The direction from the start is determined by the sign of the final y component.
Given Data / Assumptions:
- North 15 → y = +15.
- West 10 → x = −10.
- South 5 → y = +10.
- East 10 → x = 0.
Concept / Approach:Sum x and y components. The final point (0, 10) lies directly above the origin on the North line.
Step-by-Step Solution:x: −10 + 10 = 0.y: +15 − 5 = +10.Direction from origin to final point: North.
Verification / Alternative check:Sketch the path: you end vertically above the start.
Why Other Options Are Wrong:East/West require x ≠ 0; South would need y < 0.
Common Pitfalls:Answering with facing instead of location direction; the question asks for direction from the start.
Final Answer:North