A wheel of radius $r$ rolls to the right without slipping on a horizontal road. Its axle moves at a constant speed $v_{\text {axle }}$ (a) Find the velocities of points $A, B,$ and $C$ with respect to the axle. Express your answers in terms of $v_{\text {axle }}$ and $r,$ as needed. [Hint: In the reference frame of the axle, the wheel is rotating in place at a constant angular speed $\omega .]$ (b) Find the velocities of points $A, B,$ and $C$ with respect to the road.
(c) Comment on the velocity of point $C$ with respect to the road.