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?

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