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Motion in A Plane
Question
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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? 

Answer

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. 

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Some More Questions From Motion in A Plane Chapter

Is a physical quantity, having a direction, necessarily a vector?

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.