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 ; t 2 ), the average speed of a uniformly varied motion is equal to the arithmetic mean between the respective instantaneous speeds, v 1 and v 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: