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

Question

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

Infinity Learn · Accepted Answer

From figure, OA→$$=$$  $$0i^+30j^$$,    AB→ $$=20i^+0j^BC$$→ $$=$$−$$302cos450i^$$−$$302sin450j^$$       $$=$$ −$$30i^$$−$$30j^$$∴Net displacement, OC→$$=$$ OA→ $$+AB$$→ $$+BC$$→                                                      $$=$$ −$$10i^$$ $$+0j^$$                                                     $$=$$ |OC→|  $$=$$ $$10m$$.

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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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