AQA GCSE Combined Science: Trilogy Physics Paper 2 (Foundation), 2023: Question 2

8 marks · Standard Demand difficulty · Short Answer

Interpret a distance-time graph to determine braking distance and calculate deceleration using a given formula.

Practise this question

Question

A distance-time graph for a car journey. The y-axis is distance in metres from 0 to 90, and the x-axis is time in seconds from 0 to 10. The graph shows a straight line from the origin to (4, 64), where a label indicates 'Brakes applied'. The line then curves and levels off at 84 metres from 7 seconds onwards. Below the graph are five sub-questions asking to identify graph features, determine braking distance, calculate deceleration using a provided formula, identify dangers of large decelerations, and describe the relationship between speed and braking distance.
Question text

02 A car contains a device called a black box. The black box records the distance

travelled and the time taken for each journey.

Figure 3 shows the distance–time graph for part of a journey.

Figure 3

02.1 Which feature of Figure 3 shows that the car travels at a constant speed for the

first 4 seconds?

[1 mark]

Tick ( ) one box.

The line becomes horizontal.

The line goes through the origin.

The line is straight. 11

02.2 After 4 seconds the driver applied the brakes and the car slowed down and stopped.

The distance the car travelled after the brakes were applied is called the

braking distance.

Determine the braking distance of the car.

*10* Use Figure 3.

[2 marks]

Braking distance = m

The black box also records the deceleration of the car.

02.3 As the car decelerates, the velocity of the car changes by 16 m/s.

The car decelerates for 2.5 seconds.

Calculate the deceleration of the car.

Use the equation:

change in velocity

deceleration =

time taken

[2 marks]

12Deceleration = m/s2

02.4 If the black box records large decelerations, it identifies that the driving may

be dangerous.

Why can large decelerations be dangerous?

[2 marks]

Tick ( ) two boxes.

*11* The brakes on the car can overheat.

The driver may lose control of the car.

The force applied by the brakes is very small.

The reaction time of the driver increases.

The thinking distance is very short.

02.5 The black box monitors the speed of the car.

Describe how speed affects braking distance.

[1 mark]

Mark scheme

Show the mark scheme The mark scheme for question 2 provides the following points: 02.1 identifies 'the line is straight' for 1 mark. 02.2 awards 1 mark for reading 64 and 84 from the graph and 1 mark for calculating a braking distance of 20m. 02.3 gives 1 mark for the substitution 16 divided by 2.5 and 1 mark for the final answer of 6.4 m/s². 02.4 awards 2 marks for selecting 'the brakes on the car can overheat' and 'the driver may lose control of the car'. 02.5 awards 1 mark for stating that greater speed leads to greater braking distance. Total marks for the question is 8.

Question 2

AO /

Question Answers Extra information Mark

Spec. Ref.

02.1 the line is straight 1 AO2

6.5.4.1.4

AO /

Spec. Ref.

02.2 64 and 84 read from graph 1 AO3

6.5.4.1.4

braking distance = 20 (m) do not accept if readings from 1

the graph are incorrect

AO /

Spec. Ref.

02.3 16 1 AO2

a = 6.5.4.1.5

2.5

a = 6.4 (m/s2) ignore negative signs 1

AO /

Spec. Ref.

02.4 the brakes on the car can 1 AO1

overheat 6.5.4.3.4

the driver may lose control of 1

the car

AO /

Spec. Ref.

02.5 the greater the speed the 1 AO1

greater the braking distance 6.5.4.3.1

Total Question 2 8

How to answer it

Distance, Speed, and Braking Safety

What this question tests

This question assesses your ability to interpret distance-time graphs, calculate deceleration using a provided formula, and understand the safety implications of braking forces and speed.

Part 02.1

Identifying Constant Speed

Correct Answer

✅ The line is straight.

Key Knowledge

  • On a distance-time graph, the gradient (slope) represents the speed.
  • A straight line has a constant gradient, meaning the speed is not changing.

Exam Technique

Don't confuse distance-time graphs with velocity-time graphs! On a velocity-time graph, a straight diagonal line means constant acceleration. Always check the axis labels first.

Part 02.2

Determining Braking Distance

Step-by-Step Calculation

  1. Identify start of braking: At 4 seconds, the distance is 64 m.
  2. Identify end of journey: The car stops when the line becomes horizontal. At this point, the distance is 84 m.
  3. Calculate the difference: 84 m - 64 m = 20 m.
Mark 1: Correct readings from graph (64 and 84).
Mark 2: Correct final answer (20 m).

Common Errors

❌ Reading the total distance: Many students simply write "84 m". This is the total distance for the whole journey, not just the distance travelled while braking.

Part 02.3

Calculating Deceleration

Calculation Steps

Formula: deceleration = change in velocity / time taken

  1. Substitute values: 16 / 2.5
  2. Final Answer: 6.4 m/s²
Mark 1: Correct substitution.
Mark 2: Correct calculation.

Examiner Insight

The mark scheme says to ignore negative signs. In physics, deceleration is technically a negative acceleration, but if the question asks for "deceleration," a positive number is usually expected as the word "deceleration" already implies slowing down.

Part 02.4

Dangers of Large Decelerations

Correct Answers (Tick Two)

  • ✅ The brakes on the car can overheat.
  • ✅ The driver may lose control of the car.

Key Knowledge

When brakes are applied, friction between the brake pads and the wheels transfers kinetic energy into thermal energy. If this happens too quickly (large deceleration), the temperature can rise high enough to cause "brake fade" or failure.

Part 02.5

Speed and Braking Distance

Correct Answer

The greater the speed, the greater the braking distance.

Key Knowledge

Braking distance is proportional to the square of the speed. If you double your speed, your braking distance actually increases by four times (2² = 4).

Common Errors

❌ Confusing Thinking and Braking: Speed affects both, but this question specifically asks for braking distance. Avoid talking about reaction times here, as speed doesn't change how fast your brain works, only how far the car travels while you think!

Topics

Physics · P5: Forces

Question and mark scheme from the AQA GCSE Combined Science: Trilogy examination, Physics Paper 2 (Foundation), 2023. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.