Problem 4.14

A point moves in the plane xy according to the law $x=$ $=a \sin \omega t, y=b \cos \omega t,$ where $a, b,$ and $\omega$ are positive constants. Find: (a) the trajectory equation $y(x)$ of the point and the direction of its motion along this trajectory; (b) the acceleration $\mathbf{w}$ of the point as a function of its radius vector r relative to the origin of coordinates.