A person moves 30 m North, then 20 m East, then 302 m South-West. Magnitude of the person’s displacement from the origin is _____

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A person moves 30 m North, then 20 m East, then $30 \sqrt{2} m$ South-West. Magnitude of the person’s displacement from the origin is ______

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answer is 10.

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Detailed Solution

$O A = 30 m$
$\bar{O A} = 30 \hat{j}$
$\bar{A B} = 20 \hat{i}$
$\bar{B C} = - 30 \hat{i} - 30 \hat{j}$
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$\bar{O C} = \bar{O A} + \bar{A B} + \bar{B C} = - 10 \hat{i}$

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