A wheel is rolling on a straight level track with a uniform velocity ' \(v\) '. The instantaneous velocity of a point on the wheel lying at the mid-point of a radius.

(a). varies between \(3 \frac{v}{2}\) and \(-\frac{v}{2}\)

(b) varies between \(\frac{v}{2}\) and \(-\frac{v}{2}\)

(c) varies between \(3 \frac{v}{2}\) and \(\frac{v}{2}\)

(d) does not vary and is equal to \(v\).