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.