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Wind is blowing from the south at 5 m/s. To a cyclist it appears to be blowing from the east at 5 m/s. The velocity of the cyclist is

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$5 \sqrt{2} m / s$ towards S-W

$5 \sqrt{2} m / s$ towards N-W

$5 \sqrt{2} m / s$ towards N-E

$5 \sqrt{2} m / s$ towards S-E

answer is B.

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Detailed Solution

${\vec{v}}_{c} = {\vec{v}}_{w} - {\vec{v}}_{wc} = 5 \hat{i} + 5 \hat{j}$

$V_{C} = \sqrt{V_{W}^{2} + V_{W C}^{2}}$

$= \sqrt{5^{2} + 5^{2}}$

$= 5 \sqrt{2}$ towards N- E

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