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 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 graphics for this movement and their interpretations are presented below.