A particle moves such that its position vector \(\vec{r}(t)=\cos \omega t \hat{i}+\sin \omega t \hat{j}\) where \(\omega…

A particle moves such that its position vector \(\vec{r}(t)=\cos \omega t \hat{i}+\sin \omega t \hat{j}\) where \(\omega\) is a constant and \(t\) is time. Then which of the following statements is true for the velocity \(\vec{v}(t)\) and acceleration \(\vec{a}(t)\) of the particle:

[JEE Main 2020, 8 Jan (Shift 2)]