Rolling Wheel / quick question -- Linear and Angular Velocity

[gcombina]

Homework Statement

Which statement concerning a wheel undergoing rolling motion is true
(a) The angular acceleration of the wheel must be zero m/s2.
(b) The tangential velocity is the same for all points on the wheel.
(c) The linear velocity for all points on the rim of the wheel is non-zero.
(d) The tangential velocity is the same for all points on the rim of the wheel.
(e) There is no slipping at the point where the wheel touches the surface on which it is rolling

Homework Equations

The Attempt at a Solution

Answer is E
but why not C? this wheel is in angular velocity so that does mean that linear velocity is zero?

 

[velo city]

No isn't the linear velocity of the wheel just the motion of the center of the wheel. All points on the rim of the wheel don't move linearly right? Am I wrong?

 

[haruspex]

but why not C?

At a given instant, consider the point that is in contact with the ground. Does it have any velocity? If so, which way?

isn't the linear velocity of the wheel just the motion of the center of the wheel.

That's the linear velocity of the wheel as a whole, but each bit of the wheel has its own instantaneous linear velocity.