A particle moves so that its position vector is given by `vec r= cos omega t hat x = sin omega t haty`, where `omega` is a constant. Which of the following is true?

Options

A. Velocity is perpendicular to `vec r`and acceleration is directed towards the origin.
B. Velocity is perpendicular to `vec r`and acceleration is directed away from the origin.
C. Velocity and acceleration both are perpendicular to `vec r`.
D. Velocity and acceleration both are parallel to `vec r`.