A particle moves in the \(xy\)-plane such that its position vector as a function of time \(t\) is given by \(\vec{r}(t) = b\cos(\omega t)\hat{i} + c\sin(\omega t)\hat{j}\), where \(b\), \(c\), and \(\omega\) are positive constants with \(b > c\). Which row in the table correctly identifies the locations on the particle's trajectory where its speed is greatest and describes the direction of its acceleration vector?

	Location of Greatest Speed	Direction of Acceleration Vector
A	Points on the \(x\)-axis	Not always directed toward the origin
B	Points on the \(x\)-axis	Always directed toward the origin
C	Points on the \(y\)-axis	Not always directed toward the origin
D	Points on the \(y\)-axis	Always directed toward the origin