Question

# A boy travels 5 km to the south and turns west to travel 13 km. Finally, he travels on the same path, 9 km due east and stops. What is his displacement from the initial point?

A

41 km South-east

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B

41 km North-west

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C

41 km South-west

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D

41 km North-east

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Solution

## The correct option is C √41 km South-west DA denotes the 5 km that the boy travelled south. Then he turned to the west and travels 13 km which is denoted by AB. He returns on the same path while travelling 9 km east which is his destination. Effectively, he travelled 4 km west which is shown using AC. Displacement is DC Displacement DC=√DA2+AC2 = √52+42 = √41 km South-west

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