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
- Treating distance and displacement as interchangeable.
- Dropping the sign or direction from displacement.
- 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.
Medium5 marks
Directed journey on a coordinate line
Calculate & apply
Start original questionEasy3 marks
Same displacement, different paths
Apply concept
Start original question