Question pattern · Knowledge card

Directed position, distance & displacement

Separate scalar path length from the signed change between final and initial position, using one declared positive direction throughout.

Primary skill
Apply concept
Original practice questions
2

Connect the ideas

Key relationships and graph reading

  • Displacement Δx = xfinal − xinitial
  • Distance = sum of absolute path-segment lengths
  • Average velocity = displacement / elapsed time

Check your method

Three common mistakes

  1. Treating distance and displacement as interchangeable.
  2. Dropping the sign or direction from displacement.
  3. Using displacement instead of distance for average speed.

Original micro-example

Try the idea in miniature

East is positive. A robot moves from −3 m to +8 m, then back to +5 m.

Show the short answer

Distance = 11 m + 3 m = 14 m. Displacement = +5 m − (−3 m) = +8 m east.

Original practice questions

Practise this question pattern

The pattern describes the reasoning structure. Each link below opens a distinct original practice question.