Model Railway Australia

Question related to simple graphing.?

The straightest railway in the world runs across the Nullabor Plain in southern Australia, a distance of 500 km. A train takes 12.5 hours to cover the distance. Model the journey by drawing:
(a) a velocity-time graph.
(b) a displacement-time graph.
Label your graphs to show the numbers 500 and 12.5 and to indicate the units used. Suggest some ways in which your models may not match the actual journey.

Depends on how sophisticated you want to get. Roughly, your graph models the general idea.
A refinement might be that neither plot is a straight line. The velocity graph can start at 0, quickly reach then maintain cruising velocity, then return to 0 at end of trip.
The displacement graph would have a shallower (though still positive) slope during those periods (it's actually curved, not straight, during those periods).
You can only estimate the expected initial acceleration and deceleration, so your graph may not match actual performance.
In addition to that, momentary velocity may be affected by: changes of elevation/grade, wind or weather, scheduled or unscheduled stops, mechanical problems.

Fairfield - Australian Great Model Railway Layout HO scale

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