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  3. ›UK, Cambridge, A Level and IB
  4. ›KS3 Year 8
  5. ›Physics
  6. ›Motion graphs

KS3 Year 8 / Physics / Curriculum

Motion graphs

Motion graphs: structured theory, worked examples, answered practice, and a mastery checklist for KS3 Year 8.

CHAPTER PLAN

Learn, practise, and check your progress

Follow the steps in order or jump directly to the part you need.

—/5

completed

Estimated active study time

209 minutes

  1. 1. Understand

    Objectives, key ideas, and structured theory.

    Open →
  2. 2. Follow the method

    Worked examples that explain every step.

    Open →
  3. 3. Practise

    Graded tasks with hints and answer guidance.

    Open →
  4. 4. Consolidate

    Assignments from core work to challenge.

    Open →
  5. 5. Check

    A timed, marked test with solution guidance.

    Open →

Progress is stored only in this browser and does not require AI credits.

Learning objectives

  • ✓Describe “Speed calculations” using evidence from observation, measurement, or a model.
  • ✓Describe “Distance-time graphs” using evidence from observation, measurement, or a model.
  • ✓Describe “Relative motion introduction” using evidence from observation, measurement, or a model.
  • ✓Describe “Interpreting gradients in simple cases” using evidence from observation, measurement, or a model.

Key ideas and checks

  • I connect a model with experimental evidence.
  • I apply half-life or an energy relation correctly.
  • Every solution or explanation for “Motion graphs” should include a method, justification, and final check.

Unit

Core theory

The essential chapter ideas in a clear sequence before practice.

01

Model and experimental evidence

Modern physics uses models tested by spectra, scattering, decays, and detectors. Distinguish an observation from its interpretation.

02

Probability and scale

A single nuclear decay is random, but large samples follow predictable laws. Use half-life or an exponential relation with the correct scale.

03

Energy and conservation

In atomic and nuclear processes, check energy, momentum, charge, and particle numbers where applicable. Do not mix eV and J without conversion.

04

Speed calculations

For “Speed calculations”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

05

Distance-time graphs

For “Distance-time graphs”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

06

Relative motion introduction

For “Relative motion introduction”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

07

Interpreting gradients in simple cases

For “Interpreting gradients in simple cases”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

Physics

Worked examples

Follow the method step by step and check why every step is valid.

Worked half-life example

A sample starts with 80 active nuclei and 3 half-lives pass. How many are expected?

  1. 1The expected count halves each half-life.
  2. 2Use N = 80·(1/2)^3.
  3. 3This is a statistical expectation, not a prediction for each nucleus.

N = 10

Reasoning example

Before calculating, explain the key idea from “Speed calculations” and which conditions must be checked.

  1. 1Define the idea in one clear sentence.
  2. 2Connect it to a representation, law, or formula.
  3. 3State a restriction, unit, or final check that makes the solution valid.

The answer should show not only which rule is used for “Speed calculations”, but also why it is valid here.

Motion graphs

Practice with answers

Eight graded tasks from core fluency to exam-style application. Work independently before opening a hint or answer.

Core fluency4 minutes

A sample starts with 360 nuclei. How many are expected after three half-lives?

Hint

Halve three times.

Answer guide

45.

Core fluency5 minutes

Structure a solution for “Distance-time graphs”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “Distance-time graphs”, shows substitution and calculation, and interprets the result.

Application6 minutes

Identify three uncertainty sources in measuring “Relative motion introduction” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Application7 minutes

Plan a suitable graph for “Interpreting gradients in simple cases” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Reasoning8 minutes

Check whether a result for “Speed calculations” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Reasoning9 minutes

Connect “Distance-time graphs” to energy conservation or a force/field model and justify the choice.

Hint

Define the system and interactions.

Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

Exam style10 minutes

Write a multi-step exam response about “Relative motion introduction” with calculation and evaluation.

Hint

Separate givens, model, calculation, result, and evaluation.

Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

Exam style12 minutes

Compare two methods for investigating “Interpreting gradients in simple cases” and select the more reliable using criteria.

Hint

Use accuracy, repeatability, control, and safety.

Answer guide

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

Common mistakes

  • Treating half-life as a linear decrease.
  • Confusing radiation with radioactive material.
  • Using a model without connecting it to experimental evidence.

Mastery check

  • ✓I connect a model with experimental evidence.
  • ✓I apply half-life or an energy relation correctly.
  • ✓I check conservation, units, and order of magnitude.

Motion graphs

Chapter homework

Six distinct assignments from core fluency to challenge, each with an estimated time, hint, and answer guide.

Core8 minutes

Homework 1: A sample starts with 240 nuclei. How many are expected after three half-lives?

Hint

Halve three times.

Answer guide

30.

Core10 minutes

Homework 2: Structure a solution for “Distance-time graphs”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “Distance-time graphs”, shows substitution and calculation, and interprets the result.

Stretch12 minutes

Homework 3: Identify three uncertainty sources in measuring “Relative motion introduction” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Stretch15 minutes

Homework 4: Plan a suitable graph for “Interpreting gradients in simple cases” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Challenge18 minutes

Homework 5: Check whether a result for “Speed calculations” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Challenge20 minutes

Homework 6: Connect “Distance-time graphs” to energy conservation or a force/field model and justify the choice.

Hint

Define the system and interactions.

Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

50 minutes / 40 marks

Full chapter test

A timed, full-mark self-assessment with model-answer guidance.

Test timer

Ready to start

Time remaining: 50:00

Start the timer when ready, work without notes, show every step, and open model answers only after finishing.

1. A sample starts with 144 nuclei. How many are expected after three half-lives?

2 marks
Answer guide

18.

2. Structure a solution for “Distance-time graphs”: givens, SI units, law, substitution, and interpretation.

3 marks
Answer guide

A full solution states symbols/units, selects a valid law for “Distance-time graphs”, shows substitution and calculation, and interprets the result.

3. Identify three uncertainty sources in measuring “Relative motion introduction” and improve each one.

3 marks
Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

4. Plan a suitable graph for “Interpreting gradients in simple cases” data and explain how to obtain a gradient or relationship.

4 marks
Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

5. Check whether a result for “Speed calculations” is sensible using units, order of magnitude, and a limiting case.

4 marks
Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

6. Connect “Distance-time graphs” to energy conservation or a force/field model and justify the choice.

4 marks
Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

7. Write a multi-step exam response about “Relative motion introduction” with calculation and evaluation.

5 marks
Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

8. Compare two methods for investigating “Interpreting gradients in simple cases” and select the more reliable using criteria.

5 marks
Answer guide

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

9. Create an extension question about “Speed calculations”, a prediction, and a data-collection plan.

5 marks
Answer guide

A full response gives a testable question, justified prediction, independent-variable range, repeats, and an analysis method.

10. A sample starts with 288 nuclei. How many are expected after three half-lives?

5 marks
Answer guide

36.

Unit

Official sources and verification

Curriculum reference sources. Always confirm the teaching sequence with the school and tutor.

UK Department for Education - ScienceOfficial national curriculum progression and attainment guidance.

Physics

Link each topic to equations, units, data handling, and required practical thinking.

Back to subject

What this chapter covers

The structure follows the official textbook layout and is used to organise study.

Speed calculations
Distance-time graphs
Relative motion introduction
Interpreting gradients in simple cases

Where to focus

The areas that usually create mistakes or need extra revision.

I connect a model with experimental evidence.
I apply half-life or an energy relation correctly.
I check conservation, units, and order of magnitude.

Sources, daily material, and resources

Where to start: textbook, daily material, PDFs, videos, and worked examples.

Start from the official textbook or specification referenced on the subject page.
Use the notes and examples as support, not as a replacement for the official syllabus.
Check the current syllabus version before exam preparation.

Practice by subtopic

Targeted practice before full tests so coverage is clear.

A sample starts with 360 nuclei. How many are expected after three half-lives?
Structure a solution for “Distance-time graphs”: givens, SI units, law, substitution, and interpretation.
Identify three uncertainty sources in measuring “Relative motion introduction” and improve each one.
Plan a suitable graph for “Interpreting gradients in simple cases” data and explain how to obtain a gradient or relationship.
Check whether a result for “Speed calculations” is sensible using units, order of magnitude, and a limiting case.
Connect “Distance-time graphs” to energy conservation or a force/field model and justify the choice.
Write a multi-step exam response about “Relative motion introduction” with calculation and evaluation.
Compare two methods for investigating “Interpreting gradients in simple cases” and select the more reliable using criteria.

Mocks and progress checks

How to measure progress in this chapter and when it enters a cumulative mock.

Start with untimed practice by subtopic.
Move to a short timed checkpoint only after completing the mastery checklist.
Record each error with the correct method and revisit it after 48 hours.

Next step

What to do after finishing the chapter and how it connects to the next unit.

Complete the practice without support.
Explain the core method aloud in under two minutes.
Continue to the next chapter or request targeted tutor support.

Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.

Chapter 2 of 6

← Previous chapterForces and pressureNext chapter →Energy and thermal physics
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