Sanjeev walks 10 m South, then 20 m East, then 20 m South, then 20 m West, then 10 m North. How far and in which direction is he from the start?

Difficulty: Easy

Correct Answer: 20 meters South

Explanation:


Introduction / Context:
Accumulate displacements along East–West (x) and North–South (y) axes, then describe the final vector from origin.



Given Data / Assumptions:

  • S: −10 → (0, −10)
  • E: +20 → (20, −10)
  • S: −20 → (20, −30)
  • W: −20 → (0, −30)
  • N: +10 → (0, −20)


Concept / Approach:
The final coordinates give both distance and direction relative to the start.



Step-by-Step Solution:
End point: (0, −20).Distance = 20 m; direction is straight South from the start.



Verification / Alternative check:
East and West legs cancel (20 each). Net South = 10 + 20 − 10 = 20 m.



Why Other Options Are Wrong:
They misstate either the magnitude or the direction of the net displacement.



Common Pitfalls:
Noticing that the final North leg only partially cancels prior South legs.



Final Answer:
20 meters South

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