Fundamentals of Physics Extended (10th Edition)

$0$
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 $t=0$: $w\left( 0\right) =8t+6t^{2}=8\times 0+6\times 0^{2}=0$