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Mechanical Motion: Trajectory, Path and Displacement

Physics Grade 7 Difficulty 1/5

Beginning of the lesson

A cyclist follows a curved trajectory while a straight arrow connects the starting and ending points to represent displacement.
The path follows the actual trajectory, while displacement is the directed straight-line change from start to finish.

Mechanical Motion: Trajectory, Path and Displacement

How do we describe where something is and how far it has gone?

Big Idea: When a body changes its position compared with other bodies as time passes, we say it is in mechanical motion. To describe that motion clearly, physics gives us three simple tools: the trajectory (the line it moves along), the path (how much line it covered), and the displacement (how far and in which direction it ended up from the start).
By the end of this lesson you will be able to:
  • say what mechanical motion is and why we always need a reference body;
  • explain why motion is relative (a passenger can be moving and standing still at the same time);
  • tell a trajectory apart from a path;
  • measure the path s in metres and use its symbol;
  • understand displacement as a directed segment (a vector) and see how it differs from path.

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 101
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers