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You are watching: When are the instantaneous speed and averaged speed the same?

Hello!

Yes, instantaneous speed and average speed deserve to be same (and deserve to be different).

The simplest case is when a body has actually a continuous speed. In this case, its instantaneous speed is the very same at any type of moment and the mean speed over any kind of time interval has actually the same value.

If the instantaneous...

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Hello!

Yes, instantaneous speed and average speed have the right to be same (and can be different).

The simplest case is once a body has actually a consistent speed. In this case, its instantaneous rate is the same at any moment and the typical speed over any type of time interval has the same value.

If the instantaneous rate was changed over part time interval, then the mean speed end this interval is same to the instantaneous speed at at the very least at one moment, maybe many. The reason for this is that speed is consistent and the average speed is between the least and greatest worths of the instantaneous speed. This is an application of the intermediate worth theorem.

If, because that example, a human body moves with a constant nonzero acceleration, climate the typical speed over any kind of interval will have one and only one coincidence v the instantaneous speed on this interval.

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