A person moves $$30$$ m north and then $$20$$ m towards east and finally $$302$$, m in $$south-west$$ direction. The displacement of the person from the origin will be

Correct option is 310 m along west

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A person moves 30 m north and then 20 m towards east and finally $30 \sqrt{2}$ , m in south-west direction. The displacement of the person from the origin will be

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10 m along north

10 m long south

10 m along west

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detailed solution

Correct option is C

From figure, OA→=0i^+30j^, AB→=20i^+0j^BC→=−302cos⁡45∘i^−302sin⁡45∘j^=−30i^−30j^∴ Net displacement, OC→=OA→+AB→+BC→=−10i^+0j^⇒|OC→|=10m Net displacement is 10m along west

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A person moves 30 m north and then 20 m towards east and finally 302, m in south-west direction. The displacement of the person from the origin will be

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A person moves 30 m north and then 20 m towards east and finally $30 \sqrt{2}$ , m in south-west direction. The displacement of the person from the origin will be