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A mosquito is moving with a velocity \( \vec{v}=0.5 t^{2} \hat{i}+3 t \hat{j}+9 \hat{k} \mathrm{~m} / \mathrm{s} \) and …

Q1

A mosquito is moving with a velocity \( \vec{v}=0.5 t^{2} \hat{i}+3 t \hat{j}+9 \hat{k} \mathrm{~m} / \mathrm{s} \) and accelerating in uniform conditions. What will be the direction of mosquito after \( 2 \mathrm{~s} \)?

[JEE Main 2021, 16 Mar (Shift 1)]

a

\({\tan }^{-1}\left(\frac{\sqrt{2}}{3}\right)\) from X-axis

b

\({\tan }^{-1}\left(\frac{\sqrt{117}}{2}\right)\) from X-axis

c

\({\tan }^{-1}\left(\frac{5}{2}\right)\) from Y-axis

d

\({\tan }^{-1}\left(\frac{5}{2}\right)\) from X-axis

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