A particle moves so that its position vector is given
by ``\vec{r}`` = ``cos\omega``t ``\hat{x}`` + ``sin\omega``t ``\hat{y}`` .
Where ``\omega`` is a constant.
Which of the following is true ?
(1) Velocity and acceleration both are perpendicular
to ``\vec{r}``.
(2) Velocity and acceleration both are parallel to r``\vec{r}``
(3) Velocity is perpendicular to r``\vec{r}`` and acceleration
is directed towards the origin
(4) Velocity is perpendicular to r``\vec{r}`` and acceleration
is directed away from the origin.