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A butterfly is flying with velocity $10 \overset{\land}{i} + 12 \overset{\land}{j}$ m/s and wind is blowing along x axis with velocity u. If butterfly starts motion from A and after some time reaches point B, find the value of u.

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2 m/s

6 m/s

3 m/s

4 m/s

answer is B.

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Detailed Solution

${\vec{V}}_{B} = {\vec{V}}_{B W} + {\vec{V}}_{W} = (10 + u) \bar{i} + 12 \bar{j} \tan 37 = \frac{12}{10 + u}$

$\Rightarrow u = 6 m / s$

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