A sphere is moving towards the positive x-axis with a velocity v_c and rotates clockwise with angular speed \(\omega\) as shown in figure, such that v_c > \(\omega\)R. The instantaneous axis of rotation will be :

outside the sphere

The instantaneous axis of rotation will fall on the outside of the sphere. Since, in case of pure rotation, the instantaneous axis of rotation will be on the centre. In case of pure rolling, the instantaneous axis of rotation will be on P.

But if v_c > \(\omega\)R, then there will not be any point on or inside the sphere for which the velocity will be zero w.r.t ground, thus the instantaneous axis of rotation will fall out of the sphere.