When are uniform velocity and average velocity equal?

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When an object is moving with uniform velocity its instantaneous velocity at every point is time is the same as its average velocity. Uniform velocity is a description that tells us the rate of change of position with respect to time is constant. Instantaneous velocity is the velocity at one point in time and average velocity is the rate of change of position over an interval. The two quantities that are equal in this situation are average and instantaneous velocity.

It might help to consider a graph of uniform velocity. In the graph below, you can see that change in position vs. change in time is a straight line. The slope of the line represents velocity. It's the same at all points. For this type of motion the average rate isn't really relevant since there's no change in the rate.

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