Average speed of the MUV

The average speed shown in the hourly diagram of speed as a function of time

In the study of the physical concepts about uniformly varied motion we saw that its main characteristic says that such motion has a constant and non-zero scalar acceleration. An immediate consequence of this definition is that the average scalar acceleration is also constant and equal to the instantaneous speed.

For a given time interval ( 1 ; 2 ), the average speed of a uniformly varied motion is equal to the arithmetic mean between the respective instantaneous speeds, 1 and 2 . Schematically, we have:

At time t 1 ⇒v 1
At time t 2 ⇒v 2

So we have:

Reinforcing the thesis, we can think of the area under the velocity graph:

Although:

Putting I and II together , we have:

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