Question

The numerical ratio of average velocity to average speed is:
> Always less than 1.
Always equal to 1.
Always more than 1.
Equal to or less than 1.​

Answer 1

answer always less than 1

explanation : before going to question, let's learn some important terms .

distance is the length of path covered by particle.

displacement is the shortest distance between final position to initial position.

that means, displacement ≤ distance.

now, average speed is the rate of change of distance covered by particle with respect to time.

i.e., average speed = distance/time

and average velocity is the rate of change of displacement with respect to time.

i.e., average velocity = displacement/time.

now form equation (1),

displacement ≤ distance

or, displacement/time (t) ≤ distance/time(t)

or, average velocity ≤ average speed

or, average velocity/average speed ≤ 1

hence, ratio of average velocity to average speed is always less than 1.