Question

A boy goes from A to B with a velocity of 20 m/sec and comes back from B to A with a velocity of 30 m/sec. The average velocity of the boy during the whole journey is

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Answer 1

Average velocity is given as the ratio of total displacement to total time taken.

Vavg=ΔxΔt

Where x is the displacement ad t is the time taken

Displacement is the straight line distance between the initial and final position of the particle.

Here the initial and final particle is the same.

Complete step by step answer:

Given,

The velocity of the body when it goes from A to B is 20m/s

The velocity of the body when it goes from B to A is 30m/s

We need to find the average velocity.

Average velocity is given as the ratio of total displacement to total time taken.

Vavg=ΔxΔt

Where x is the displacement and t is the time taken.

Velocity is a vector quantity. It has both magnitude and direction.

Displacement is the length of the shortest path taken by an object or it is the straight line distance between the initial and final position of the particle.

In this case, the body goes from A to B and then returns back from B to A. That is, the body returns to the original position. So, the initial position and final position of the body are the same.

The displacement here is zero since displacement is the difference between the initial and final positions

Velocity is the ratio of displacement to time. Since displacement is zero velocity is also zero.

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Answer 2

Explanation:

Average velocity =

Total time/Total displacement

Since, in this case, the particle initial and final points are the same, therefore its Displacement =0.

∴Average velocity=0