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

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A mosquito is moving with a velocity \( \vec{v}=0.5 t^{2} \hat{i}+3 \hat{j}+9 \hat{k} \mathrm{~m} \) \( \mathrm{s} \) and accelerating in uniform conditions. What will be the
P direction of mosquito after \( 2 \mathrm{~s} \) ?
[JEE Main-2021 (March)]
W
(a) \( \tan ^{-1}\left(\frac{\sqrt{85}}{6}\right) \) from \( y \)-axis
(b) \( \tan ^{-1}\left(\frac{5}{2}\right) \) from \( y \)-axis
(c) \( \tan ^{-1}\left(\frac{2}{3}\right) \) from \( x \)-axis
(d) \( \tan ^{-1}\left(\frac{5}{2}\right) \) from \( x \)-axis
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