Answer
$0$
Work Step by Step
Angular velocity of point will be:
$w=\dfrac {\partial \theta }{\partial t}=\dfrac {\partial }{\partial t}\left( 2+4t^{2}+2t^{3}\right) =8t+6t^{2}$
So, at $t=0$:
$w\left( 0\right) =8t+6t^{2}=8\times 0+6\times 0^{2}=0$