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Motion In A Plane

Question
CBSEENPH11018475

Two particles A and B start from P and move along a circular path; in anticlockwise and clockwise direction respectively as shown in above figure. Both the particles are moving with same speed. When will both the particles possess the same average velocities? 

Solution
The particles are moving along a circular path, but in opposite directions. So, they do not have the same average velocity. 
The particles will have the same average velocity, when they are at a point diametrically opposite to each other. Because at this point, both particles will undergo the same displacement in the same time. Hence, at this point the particle will have same velocity.