Graphical Representations null
One way to graphically represent constant acceleration is to draw a [velocity versus time graph]. By the definition:
\begin
[ a = \frac
]\end
it is clear that the acceleration is equal to the slope of such a graph, so that if the acceleration is constant, the [velocity versus time graph] will necessarily be linear.
Another way to graphically represent acceleration is to note that the equation:
\begin
[ x_
= x_
+ v_
(t_
-t_
) + \frac
a(t_
-t_
)^
]\end
implies that for the case of constant acceleration, the position versus time graph describing the motion will be a parabola.