Tuesday, July 21, 2026

Motion and Graphs UPCAT Reviewer: Lesson and Practice

TEACHER ABI UPCAT SCIENCE

Motion and Graphs

Translate graph shape into motion before using a formula.

5-10 minute lesson27 original questionsAdaptive practiceSaves progress
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Motion and Graph Interpretation

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Motion graphs turn slope and area into physical meaning

timetimePosition–time: slope = velocityVelocity–time: area = displacementpositionvelocity

On a position–time graph, slope is velocity. On a velocity–time graph, slope is acceleration and signed area is displacement.

Position–time

Steeper slope means greater speed; horizontal means rest.

Velocity–time

Horizontal means constant velocity; area gives displacement.

DO IT FAST

Name the axes before reading the line

Problem: A position–time line rises from 0 m to 20 m in 5 s.

Recognize: The vertical axis is position, so slope means velocity.

Do it fast: (20−0)/(5−0)=4 m/s.

Why it works

The same-looking line means different things on different axes. Naming the axes prevents the most common graph error.

WORKED EXAMPLES

Five forms you should recognize

1. Positive slope

Position increases with time: positive velocity.

2. Horizontal position

Position stays constant: the object is at rest.

3. Negative slope

Position decreases: velocity is negative.

4. Velocity area

A 6 m/s rectangle lasting 4 s represents 24 m.

5. Changing steepness

A position curve getting steeper shows increasing speed.

COMMON TRAPS

Check before you commit

  • Confusing graph height with slope
  • Calling every rising line acceleration
  • Forgetting signed area
  • Mixing distance and displacement
  • Ignoring units
  • Treating a curved position graph as constant velocity
FIVE-FORM SKILL CHECK

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Foundations

Build the core procedure with immediate explanations.

Core Practice

Use mixed forms with less scaffolding.

UPCAT-Style Transfer

Apply the competency in unfamiliar representations.

FRESH MASTERY CHECK

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QUICK ANSWERS

Motion and Graphs FAQ

Does a horizontal line always mean rest?

Only on a position–time graph. On a velocity–time graph, it means constant velocity.

Can velocity be negative?

Yes. The sign indicates direction relative to the chosen positive axis.

RELATED COMPETENCIES

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