Define position and displacement
See this course’s project requirements
A fictional cart-motion report with position and velocity graphs, net-force reasoning, a mass/acceleration comparison and a checked prediction.
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What to include
- Define a reference frame and calculate distance versus displacement.
- Plot the supplied position-time graph and compute both averages.
- Calculate acceleration from velocity change.
- Draw a one-object force diagram and sum components.
- Compare masses under fixed net force.
- Test the final prediction against supplied data and include changed cases.
Review and revise
Use these criteria to check your work and choose what to improve.
- Method: applies the course-specific rules to the supplied cases with visible intermediate work.
- Accuracy: results agree with the stated facts, units, boundaries and independent checks.
- Reasoning: explains why the result follows and identifies a limitation or unresolved question.
- Transfer: completes changed cases and revises the final project when a relevant assumption changes.
Want more background?
The idea in everyday life
Fictional cart line: origin at marker O; east is positive; positions in meters. Cart starts at x=2, moves to x=8, then returns to x=5. This is supplied paper data, not a cart-building task.
Position needs a reference point, a direction and units. Displacement is final minus initial position; distance is the total path length. A round trip can have positive distance and zero displacement. Keep the coordinate convention fixed while calculating.
Define position and displacement — worked practice
Position needs a reference point, a direction and units. Displacement is final minus initial position; distance is the total path length. A round trip can have positive distance and zero displacement. Keep the coordinate convention fixed while calculating.
Fictional cart line: origin at marker O; east is positive; positions in meters. Cart starts at x=2, moves to x=8, then returns to x=5. This is supplied paper data, not a cart-building task.
1. 1. Define
Write the origin, positive direction and unit.
You should see: O, east-positive, meters.
2. 2. Segments
Calculate both segment displacements.
You should see: 8−2=+6 m; 5−8=−3 m.
3. 3. Combine
Calculate net displacement and total distance.
You should see: Displacement 5−2=+3 m; distance 6+3=9 m.
4. 4. Check
Compare the signed segment sum with final-minus-initial.
You should see: +6−3=+3 m agrees; distance remains a nonnegative path length.
What to finish
A labeled position line with segment, distance and displacement calculations.
Watch for this
A coordinate convention gives signs a meaning. It does not change the physical motion or require the final displacement to be positive.
How can I tell I understand it?
Explain a changed round trip without equating zero displacement to no travel.
Quick knowledge check
Answer all 3 questions. Get at least 2 right and the lesson completes automatically.
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Source & access notes · checked 2026-10-01
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