Physics · Motion · 20 suggested minutes
01 · Motion graphs and Newton’s laws
Learning objective: Relate resultant force, acceleration and velocity graphs.
A train moving at constant velocity has zero resultant force in the simplified straight-line model: traction balances resistance. If traction exceeds resistance, there is a forward resultant and the train accelerates. Newton’s second law is F = ma. Large mass means a given resultant force produces a smaller acceleration.
A velocity–time graph shows how speed and direction change. Gradient gives acceleration; the area gives displacement. Weight and mass differ: mass is measured in kilograms, weight is a gravitational force in newtons. Forces from the rail and resistance processes matter in addition to propulsion.
The virtual traction model subtracts resistance from wheel force; it does not include every real dependence on speed, adhesion or gradient. It is useful for force reasoning but cannot predict a real journey, driving instruction or stopping distance. Never enter railway tracks or working equipment.
Worked example · follow the reasoning
For a fictional 100000 kg train with 30000 N traction and 10000 N resistance, Fnet = 20000 N and a = 0.20 m/s². Constant resistance is a classroom assumption.
Common misconception
A moving train can have balanced forces; force is needed for acceleration, not to prove movement exists.

