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## Main Question or Discussion Point

Suppose a body moving in a curved path at a constant speed would its average velocity for a specific time period equal its final instantaneous velocity at the end of this period ?

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Suppose a body moving in a curved path at a constant speed would its average velocity for a specific time period equal its final instantaneous velocity at the end of this period ?

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Consider a circular motion after one full rotation. The average velocity is zero (you returned to the original position!).

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DEvens

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So if we consider a circular path, I suppose that the instantaneous velocity will equal the constant speed since the magnitude of the displacement vector will equal the distance at some instance during the period ?

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Nugatory

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To be precise, the magnitude of the instantaneous velocity will equal the constant speed.

So if we consider a circular path, I suppose that the instantaneous velocity will equal the constant speed since the magnitude of the displacement vector will equal the distance at some instance during the period ?

That's a bit of a tautology though, because speed is defined to be the magnitude of the velocity.

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sophiecentaur

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If the path is curved then

So if we consider a circular path, I suppose that the instantaneous velocity will equal the constant speed since the magnitude of the displacement vector will equal the distance at some instance during the period ?

"Average" Velocity (which should be called Mean Velocity because there are a number of other values of a varying quantity that can also be called 'Average') will be displacement in a given time divided by time. Counter intuitively, it can be anything from 'speed' in tangential direction to zero (instantaneously). But that's vectors for you.

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