Kinematics: JEE Main 2020 Physics question

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