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The position of a particle is given by
P \( \vec{r}=3 t \hat{i}+2 t^{2} \hat{j}+5 \hat{k} \), where \( t \) is in seconds and the

W coefficients have the proper units for \( \vec{r} \) to be in metres. The direction of velocity of the particle at \( t=1 \mathrm{~s} \) is the acceleration of the particle at \( t=1 \mathrm{~s} \) is
(a) \( 2 \hat{j} \mathrm{~m} \mathrm{~s}^{-2} \)
(b) \( -2 \hat{j} \mathrm{~m} \mathrm{~s}^{-2} \)
(c) \( 4 \hat{j} \mathrm{~m} \mathrm{~s}^{-2} \)
(d) \( -4 \hat{j} \mathrm{~m} \mathrm{~s}^{-2} \)
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