Question

A body can have zero average velocity but not zero average speed. Gine reasons in 100 words

Answer 1

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》A body can have zero average velocity but not zero average speed because velocity is displacement / time and speed is distance / time. An object can have zero displacement but not zero distance . Therefore abody can have zero average velocity but not zero average speed.

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Answer 2

Explanation:

The statement is true that a body can have zero average velocity but not zero average speed. In order to understand how this is possible, we have to take a look at the formula of both average speed and average velocity.

$\longrightarrow \sf{\quad {Speed_{(Avg)} = \dfrac{Total \; Distance}{Total \; Time} }}$

And,

$\longrightarrow \sf{\quad {Velocity_{(Avg)} = \dfrac{Total \; Displacement}{Total \; Time} }}$

The main key here is the distance and the displacement. In order to calculate the average speed, we find total distance travelled and we know that distance can never be negative. On the other hand, in order to calculate the average velocity, we find the total displacement which can be zero or negative, this is because when the body comes back to its initial position after covering certain distance, its displacement is considered as 0. So, when 0 will be divided by total time taken to calculate average velocity, we'll get the average velocity 0. Thus, a body can have zero average velocity but not zero average speed.

$\rule{200}2$

Learn More :

○ Speed is the distance covered per unit time.

○ Average speed is the total distance divided by total time taken.

○ Both speed and average speed are scalar quantity.

○ Velocity is the displacement divided by time taken.

○ Average velocity is the total displacement divided by total time taken.

○ Both velocity and average velocity are vector quantity.

○ Speed or average speed can never be 0.

○ Average velocity or velocity can also be 0 or negative.