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CGP EDU Academic Team
Published on: September 12, 2026
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
Text Solution
Verified by ExpertsThe correct answer is:
C
From figure, \vec{OA} = 0\hat{i} + 30\hat{j} , \vec{AB} = 20\hat{i} + 0\hat{j}
\(\overrightarrow{BC} = -30 \sqrt{2} \cos 45^{\circ} \hat{i}\) \(-30 \sqrt{2} \sin 45^{\circ} \vec{i}\) = -30\vec{i} - 30\vec{j}
∴ ∴ Net displacement, \vec{OC} = \vec{OA} + \vec{AB} + \vec{BC} = -10\vec{i} + 0\vec{j}
\(\left|\overrightarrow{OC}\right|=10\,m.\)
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