MathDB

A particle moves on a circle with center

O

, starting from rest at a point

P

and coming to rest again at a point

Q

, without coming to rest at any intermediate point. Prove that the acceleration vector of the particle does not vanish at any point between

P

and

Q

and that, at some point

R

between

P

and

Q

, the acceleration vector points in along the radius

RO.

B6