AQA GCSE Combined Science: Trilogy Physics Paper 2 (Foundation), 2022: Question 5

14 marks · Standard Demand difficulty · Short Answer

Analyze factors affecting thinking distance, interpret a thinking distance-speed graph, and calculate final velocity using equations of motion.

Practise this question

Question

The image shows a multi-part physics exam question about stopping distances. It includes a multiple-choice question on factors affecting thinking distance, an explanation question about alcohol's effect on driving, and a graph (Figure 7) plotting thinking distance in metres against speed in metres per second. The graph shows a linear relationship starting from the origin. The final part is a calculation question providing acceleration (5.0 m/s²), distance (45 m), and initial velocity (0 m/s), asking for the final velocity to 2 significant figures.
Question text

05 The stopping distance of a car is the sum of the thinking distance and the

braking distance.

05.1 Which factors affect the thinking distance?

[2 marks]

Tick ( ) two boxes.

Condition of the tyres

Driving on wet roads

Mass of the car

Tiredness of the driver

Using a mobile phone

05.2 Explain why a person should not drink alcohol and then drive.

[3 marks]

The Highway Code gives information on how thinking distance depends on the speed

of a car.

Figure 7 shows the information as a graph.

Figure 7

05.3 What is the speed of a car if the thinking distance is 16 m?

[1 mark]

Speed of car = m/s

05.4 Describe the relationship between speed and thinking distance.

[2 marks]

05.5 The Highway Code assumes the driver’s reaction time is 0.70 seconds.

Draw a line on Figure 7 to show the relationship for a driver with a reaction time

of 1.4 seconds.

[2 marks]

05.6 A car accelerates at 5.0 m/s2 over a distance of 45 m

initial velocity of the car = 0 m/s

Calculate the final velocity of the car.

Use the Physics Equations Sheet.

Give your answer to 2 significant figures.

[4 marks]

Final velocity (2 significant figures) = m/s

Mark scheme

Show the mark scheme The mark scheme for question 5 lists the following: 05.1 identifies tiredness and mobile phone use as factors; 05.2 explains that alcohol increases reaction time and thinking distance; 05.3 gives the speed as 23 m/s; 05.4 identifies the relationship as 'directly proportional'; 05.5 requires a straight line from the origin with a steeper gradient passing through (15, 21); 05.6 shows the calculation v² = 2 * 5 * 45, resulting in v = 21 m/s when rounded to 2 significant figures.

Question 5

AO /

Question Answers Extra information Mark

Spec. Ref.

05.1 tiredness of the driver 1 AO1

6.5.4.3.2

using a mobile phone 1

AO /

Spec. Ref.

05.2 increases reaction time 1 AO1

so increases the thinking 1 AO1

distance

so more likely to have a collision allow travels a greater distance 1 AO3

before stopping (in an

emergency) 6.5.4.3.2

AO /

Spec. Ref.

05.3 23 m/s 1 AO2

6.5.4.3.2

AO /

Spec. Ref.

05.4 directly proportional 2 AO3

allow 1 mark for as speed 6.5.4.3.2

increases thinking distance

increases

16 AO /

Spec. Ref.

05.5 straight line from the origin with 1 AO2

a greater gradient 6.5.4.3.2

through (15,21) allow a line that passes within 1

half a small square of (15,21)

dependent on MP1

AO /

Spec. Ref.

05.6 v2 – 02 = 2 × 5.0 × 45 1 AO2

6.5.4.1.5

v2 = 450 or v = √450 1

v = 21.21320343 1

v = 21 (m/s) allow a correctly rounded value 1

of v calculated using the correct

equation

Total Question 5 14

How to answer it

Stopping Distances and Equations of Motion

What this question tests

This question assesses your understanding of stopping distances (thinking vs braking), factors affecting reaction time, interpreting linear graphs, and applying the constant acceleration equation to calculate velocity.

Part 05.1 & 05.2

Factors Affecting Thinking Distance

💡 Key Knowledge

  • Thinking Distance: The distance traveled while the driver reacts. It is affected by speed and reaction time.
  • Braking Distance: The distance traveled while the brakes are applied. It is affected by road conditions, tyres, and mass.

✅ Correct Answers

05.1: Tiredness of the driver AND Using a mobile phone.

05.2: Alcohol increases reaction time (1), which increases thinking distance (1), making a collision more likely (1).

🧠 Exam Technique: The "Chain of Reasoning"

In 05.2, you must link the cause to the effect. Don't just say "it's dangerous."
1. Effect on brain (longer reaction time) → 2. Effect on physics (longer distance) → 3. Outcome (crash).

❌ Common Error: "Slower Reactions"

Avoid saying "alcohol slows down reactions." While technically true, examiners want you to say reaction time increases. If time increases, you travel further before hitting the brakes.

Part 05.3, 05.4 & 05.5

Graph Skills: Speed vs Thinking Distance

✅ Correct Answers

  • 05.3: 23 m/s (Read 16m on the y-axis, go across and down).
  • 05.4: Directly proportional.
  • 05.5: A straight line starting at (0,0) with a steeper gradient, passing through the point (15, 21).

🧠 Graph Drawing (05.5)

The original reaction time was 0.7s. The new time is 1.4s (exactly double). This means at any speed, the distance will be double the original line.

Example: At 15 m/s, the original distance was 10.5m. For the new line, at 15 m/s, the distance must be 21m.

Part 05.6

Calculation: Final Velocity

Using v² - u² = 2as

📐 Step-by-Step Calculation

  1. Identify the variables:
    Initial velocity (u) = 0 m/s
    Acceleration (a) = 5.0 m/s²
    Distance (s) = 45 m
  2. Substitute into the formula:
    v² - 0² = 2 × 5.0 × 45
  3. Simplify:
    v² = 450
  4. Square root both sides:
    v = √450 = 21.2132...
  5. Round to 2 Significant Figures:
    Final Velocity = 21 m/s

❌ The "Square Root" Trap

The most common way to lose 2 marks here is forgetting to square root the final answer. If your answer is 450 m/s for a car, ask yourself: "Is that realistic?" (450 m/s is faster than the speed of sound!)

🧠 Significant Figures

The question explicitly asks for 2 significant figures.
21.213... becomes 21.
Even if your calculation is perfect, you lose the final mark if you write 21.2 or 21.21.

Mark Breakdown: 1 mark for substitution, 1 mark for calculating v², 1 mark for the correct square root, 1 mark for 2 significant figures.

Topics

Physics · P5: Forces

Question and mark scheme from the AQA GCSE Combined Science: Trilogy examination, Physics Paper 2 (Foundation), 2022. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.