Mathematics 0580 · IGCSE · Graphs in practical situations
Graphs in practical situations — practice question
The diagram presents the speed-time graph covering the first 180 seconds of a train journey. The vertical axis carries the label Speed (m/s), while the horizontal axis is labelled Time (s). The graph rises steadily from 0 m/s at 0 s to 9 m/s at 50 s, then stays at 9 m/s until 180 s.
(a)[1]
Determine the train’s acceleration, in $\text{m s}^{-2}$, during the first 50 seconds.
(b)[2]
Show that the train takes 60 seconds to decelerate before coming to rest.
(c)[1]
Finish the speed-time graph.
(d)[4]
Calculate the train’s average speed over the entire journey.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Either $0.18$ or $\frac{9}{50}$” …