The acceleration of a moving body at any \( t \) is given by. \( \vec{a}=(4 t) \hat{i}+\left(3...

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The acceleration of a moving body at any \( t \) is given by. \( \vec{a}=(4 t) \hat{i}+\left(3 t^{2}\right) \hat{j} \mathrm{~m} / \mathrm{sec}^{2} \). If \( \vec{u}=0 \) then find the velocity (in \( \mathrm{m} / \mathrm{s} \) ) of the particle at \( 4 \mathrm{sec} \).
(a) \( 16 \hat{i}-32 \hat{j} \)
(b) \( 32 \hat{i}+64 \hat{j} \)
(c) \( 4 \hat{i}+4 \hat{j} \)
(d) \( 16 \hat{i}+32 \hat{j} \)
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