The position of a particle is given by \( \mathbf{r}=3 t \hat{\mathbf{i}}+2 t^{2} \hat{\mathbf{j...

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The position of a particle is given by \( \mathbf{r}=3 t \hat{\mathbf{i}}+2 t^{2} \hat{\mathbf{j}}+5 \hat{\mathbf{k}} \), then the direction of \( \mathbf{v}(t) \) at \( t=1 \mathrm{~s} \) in
(a) \( 45^{\circ} \) with \( X \)-axis
(b) \( 63^{\circ} \) with \( Y \)-axis
(c) \( 30^{\circ} \) with \( Y \)-axis
(d) \( 53^{\circ} \) with \( X \)-axis
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