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A person travels 30 m due north, then 20 m due east, and finally 30√2 m in the south-west direction. What is the person's net displacement from the starting point?

1. 10 m toward the north
2. 10 m toward the south
3. 10 m toward the west
4. Zero

Correct answer: 10 m toward the west

Solution

North 30 -> (0,30); East 20 -> (20,30); 30sqrt2 SW = (-30,-30) -> (-10,0). Net displacement is 10 m due west.

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