Graphical analysis of motion helps you picture the relationships among position, velocity, and accelera-
tion. If you have a graph of any one of the three variables with respect to time, you can find the other
two by determining the area under the curve or the slope of the curve. As you work with the graphs, keep
in mind what each axis represents. To derive a position-time graph from a velocity-time graph, graph the
time versus the area under the curve at that time. If you label your axes carefully, dimensional analysis.