It is a movement in which the scalar speed is constant and different from zero \(v(t) = v_0 = \mbox{constant} \ne 0 \). The position as a fuction of time, for this movement, is: $$ s(t) = s_0 + v_0 t.$$

The figure below illustrates the graph \(s \times t\) of this movement, which, in this case, is always a straight line, that increases with time if \(v_0 \gt 0\) and decreases with time if \(v_0 \lt 0\).

Uniformly accelerated motion

Uniformly varying motion is the movement in which scalar acceleration is constant and nonzero, \(a(t)=\mbox{constant} \ne 0\).

The functions for this type of movement are:

The position as a fuction of time

$$ s(t) = s_0 + v_0 t + a \frac{t^2}{2}. $$

The speed as a fuction of time

$$ v(t) = v_0 + a t.$$

The Torricelli's equation

$$ v^2 = v_0^2 + 2 a \Delta s, $$ and, in this case, \(v\) is related to \(\Delta s\).

In all these cases, \(a\), \(s_0\) and \(v_0\) are constant, i.e., does not change in the time interval of interest, different from \(s(t)\) and \(v(t)\) that are always changing.

Graphics and interpretations

The graphics for this movement and their interpretations are presented below.