A particle moves so that its position vector is given by $\overrightarrow{r} = \cos \omega t \;\hat{x} + \sin \omega t \;\hat{y}$. Where $\omega$ is a constant. <br> Which of the following is true ?

Question

( A ) Velocity is perpendicular to $\overrightarrow{r}$ and acceleration is directed away from the origin.
( B ) Velocity is perpendicular to $\overrightarrow{r}$ and acceleration is directed towards the origin
( C ) Velocity and acceleration both are parallel to $\overrightarrow{r}$
( D ) Velocity and acceleration both are perpendicular to $\overrightarrow{r}$