# Average Velocity and Final Instantaneous Velocity

## 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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Orodruin
Staff Emeritus
Homework Helper
Gold Member
No.

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

• Ibraheem
DEvens
Gold Member
To expand on what Orodruin said: Consider a mass moving in a circle at a constant speed. After one revolution it will have returned to the point it started. So its average velocity is zero. But its instantaneous velocity is clearly not zero.

• Ibraheem
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 ?

Nugatory
Mentor
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 ?
To be precise, the magnitude of the instantaneous velocity will equal the constant speed.
That's a bit of a tautology though, because speed is defined to be the magnitude of the velocity.

• Ibraheem
sophiecentaur