Mathematics 0580 · IGCSE · Graphs in practical situations
Graphs in practical situations — practice question
The graph summarises the train's trip between two stations. The vertical axis is labelled 'Speed (km/h)'. The horizontal axis is labelled 'Time of day'. Speed rises steadily from 0 at 09 00 to 126 km/h at 09 04, stays at 126 km/h until 09 48, and then falls steadily to 0 at 09 55. The diagram is marked as not to scale.
(a(i))[2]
Work out the train’s acceleration over the first 4 minutes of this journey. Give your answer in $\text{km/h}^2$.
(a(ii))[4]
Calculate the distance, in kilometres, between the two stations.
(b(i))[1]
Show that 126 km/h is the same speed as 35 m/s.
(b(ii))[3]
Calculate the time, in seconds, for the train to pass fully over the bridge.
(c)[4]
Calculate the upper bound of the average speed of the train for this journey. Give your answer in km/h.
Worked solution & mark scheme
This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Change hours into minutes accurately” …