Question

Choose the correct statement. [1]
(1) The average speed is always equal to the
average velocity
(2) The magnitude of average velocity is always
less than or equal to the average speed
(3) The magnitude of average velocity is always
greater than or equal to the average speed
(4) There is no difference between the average
speed and the average velocity

Answer 1

[1]

This statement says that the average speed is always equal to the average velocity.

First of all, Average velocity is a vector quantity and average speed is a scalar quantity and they may be equal but not always. They are equal only when Displacement = Distance.

So, This is not the correct statement.

[2]

Again, It says that the magnitude of average velocity is always less than or equal to the average speed.

We should know that the magnitude of a vector is scalar and since average speed is scalar so both are scalars so this may be possible. But let us check out if this is the case.

We know, Displacement can never be greater than Distance. But can be equal to. But we know

⇒ Average velocity = Total displacement / time

And,

⇒ Average speed = Total distance / time

Here, Time is same but we know Displacement can never be greater than Distance, So Magnitude of average velocity can be less than or equal to average speed.

So, This is the correct statement.

But let us check out other options to increase our vast knowledge.

[3]

As we have seen in the second option that Displacement can never be greater than Distance and hence the magnitude of average velocity can never be greater than average speed.

This statement clearly violates this, Hence this is incorrect statement.

[4]

Well, This is indeed false because average velocity is a vector quantity while average speed is a scalar quantity.

Answer 2

Answer:

✍2nd statement is correct statement......

Hope it helps you dear....

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