Also known as accelerated movement, it consists of a movement where there is variation of speed, that is, the furniture undergoes acceleration as time goes by.
But if this speed variation is always equal at equal time intervals, then we say that this is a Evenly Varied Motion (also called a Evenly Accelerated Motion), that is, it has constant, nonzero acceleration.
The physical concept of acceleration differs a little from the concept in everyday life. In physics, acceleration basically means changing speed, both making it bigger and slower. Already in everyday life, when we think of accelerating something, we are referring to an increase in speed.
The formal concept of acceleration is: the rate of change of velocity in a unit of time, so as unit we have:
As for velocity, we can define an average acceleration if we consider the velocity variation in a time interval , and this average will be given by the reason:
Speed as a function of time
However, when this time interval is infinitely small, ie , there is the instantaneous acceleration of the mobile.
Isolating the :
But we know that:
However, if we consider , we will have speed hourly function of Uniformly Varied Motion, which describes velocity versus time v = f (t):
Position as a function of time
The best way to demonstrate this function is through the velocity diagram. versus time (v x t) in uniformly varied movement.
The displacement will be given by the area under the velocity line, ie the trapezius area.
Where we know that:
Interpreting this function, we can say that your graph will be a parable because it is the result of a second degree function.