Graphs of uniform rectilinear motion
On a graph the horizontal axis shows time t and the vertical axis shows distance s (or velocity υ). In uniform motion s = υt, so the distance–time graph is a slanted straight line starting at the origin: the steeper the line, the greater the velocity. The velocity–time graph is a horizontal straight line parallel to the time axis, because the velocity does not change. The area of the rectangle under the velocity graph equals υ · t, i.e. the distance covered. To find the distance at a given time from the graph, go up from that time to the line and then across to the distance axis. If a coordinate–time (x–t) graph starts not at the origin but at some point on the x axis, the body was away from the origin at the start.
“Describe the graph in words”: the teacher draws two slanted lines (one steeper); pupils say which body is faster and why. Safety: use only chalk or markers.