Assertion : On a curved path, average speed of a particle can never...

Assertion is true: On a curved path, the displacement (a straight line from start to end) is always less than the distance traveled along the curve. Since average velocity = displacement/time and average speed = distance/time, and time is the same, average speed will be greater than average velocity (unless the path is straight and there's no change in direction, which is not the case for a curved path). Reason is false: Average velocity is total displacement divided by total time, not (final velocity + initial velocity) / 2. The latter is true only for uniformly accelerated motion.