Mechanics

# 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 ( ** t _{1}** ;

**), the average speed of a uniformly varied motion is equal to the arithmetic mean between the respective instantaneous speeds,**

*t*_{2}**and**

*v*_{1}**Schematically, we have:**

*v*_{2 .}*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: