Distance-Time Graph of Motion

The distance – time graph of speed is obtained by plotting different values of distance on the vertical axis against different values of time on the horizontal axis. This is shown in the diagram below:

From the graph (Fig. 5.1.1 ), the slope of the graph is:

S = \( \frac {Change \: in \: distance}{Change \: in \: time} \scriptsize = speed \)

S = \( \frac {d_2 \: – \: d_1}{t_2 \: – \: t_1} \)

The Slope of the graph represents the speed of the body.

The figure below shows the distance-time graph of speed that remains constant with time.