A man walks for some time ' \( t \) ' with velocity (v) due east. T...

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A man walks for some time ' \( t \) ' with velocity (v) due east. Then he walks for same time ' \( t \) ' with velocity (v) due north. The average velocity of the man is :
(1) \( 2 \mathrm{v} \)
(2) \( \sqrt{2} \mathrm{v} \)
(3) \( v \)
(4) \( \frac{v}{\sqrt{2}} \)
\( \mathrm{P} \)
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