A man moves 4 km southward, then 4 km westward and finally 4 km northward. The displacement of the man is:

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13. A man moves $4 \, \text{km}$ southward, then $4 \, \text{km}$ westward and finally $4 \, \text{km}$ northward. The displacement of the man is:

Analyze the movements in components.
- Southward movement: $4 \, \text{km}$ (let's consider South as negative y-direction)
- Westward movement: $4 \, \text{km}$ (let's consider West as negative x-direction)
- Northward movement: $4 \, \text{km}$ (let's consider North as positive y-direction)
Calculate the net displacement in each direction.
- Net displacement in the North

A man moves 4 km southward, then 4 km westward and finally 4 km northward. The displacement of the man is:

Step-by-step solution

Analyze the movements in components.

Calculate the net displacement in each direction.

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