A particle moves in \( x y \) plane. The position vector at any time \( t \) is \( \vec{r}=\left...

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A particle moves in \( x y \) plane. The position vector at any time \( t \) is \( \vec{r}=\left\{(2 t) \hat{i}+\left(2 t^{2}\right) \hat{j}\right\} \mathrm{m} \). The rate of change of \( \theta \) at time \( t=2 \) second (where \( \theta \) is the angle which its velocity vector makes with positive \( x \)-axis) is
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