Which of the following statements is/are incorrect?

(i) The statement "the velocity vector of a particle at a point is always along the tangent to the path

of the particle at that point" is true because at any point on a circular path, a particle appears to move tangentially to the circular path.

(ii) The statement "the net acceleration of a particle in circular motion is always along the radius of the circle towards the centre" is false because the net acceleration of a particle in circular motion is not always directed along the radius of the circle toward the centre. It happens only in the case of uniform circular motion.

(iii) The statement "the acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector" is true, because a particle in uniform circular motion always returns to its starting position after its cycle is over. The change in velocity vector will be zero and and therefore the average of the acceleration will be zero. 

(iv) The acceleration of the particle in circular motion is constantly changing in direction as it is always directed towards the center and therefore it is impossible to revolve a particle in circular path with constant acceleration.