AQA GCSE Physics Physics Paper 2 (Higher), June 2023: Question 2

10 marks · Standard Demand difficulty · Short Answer

Analyze an aeroplane's journey involving displacement, forces, motion graphs, pressure variation with height, and atmospheric density.

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Question

A multipart physics question featuring diagrams of an aeroplane's route, horizontal forces, distance-time and velocity-time graphs, a scatter graph of atmospheric pressure against height, and multiple-choice options about air density.
Question text

02 Figure 3 shows the route an aeroplane takes as it travels from an airport terminal to

the runway.

Figure 3 has been drawn to scale.

Figure 3

02.1 Determine the magnitude of the aeroplane’s displacement from the start point to the

finish point on Figure 3.

[2 marks]

Displacement = m

Figure 4 shows the direction of the horizontal forces acting on the aeroplane as it

moves in a straight line towards the runway.

Figure 4

02.2 Determine the magnitude of the resultant horizontal force on the aeroplane.

[1 mark]

Resultant horizontal force = N

02.3 Describe the motion of the aeroplane as it moves towards the runway.

[1 mark]

02.4 Air resistance and friction are contact forces.

Give one other example of a contact force.

[1 mark]

02.5 The aeroplane stops for a short time and then accelerates along the runway.

Figure 5 shows a distance–time sketch-graph for this stage of the journey.

Figure 5

Draw the velocity–time sketch-graph for this stage of the journey on Figure 6.

[2 marks]

Figure 6

02.6 The aeroplane takes off from the runway, so its height above the ground increases.

Figure 7 shows how atmospheric pressure varies with the height of the aeroplane

above the ground.

Figure 7

Estimate the atmospheric pressure when the height of the aeroplane above the

ground is 10 km.

[2 marks]

Atmospheric pressure =12 kPa

02.7 What happens to the air surrounding the aeroplane as the height of the aeroplane

above the ground increases?

[1 mark]

Tick ( ) one box.

The average density of the air above the aeroplane decreases.

The mass of air above the aeroplane increases.

The temperature of the air increases.

*11* The volume of air below the aeroplane decreases.

Mark scheme

Show the mark scheme Mark scheme for Question 2 detailing numerical answers, graph sketching instructions, and accepted physics principles for each sub-question.

Question 2

AO /

Question Answers Extra information Mark

Spec. Ref.

02.1 7.1 (cm) allow 7.0 to 7.3 (cm) 1 AO2

4.5.6.1.1

497 (m) allow 70 × their incorrect 1

measurement of displacement

AO /

Spec. Ref.

02.2 0 (N) 1 AO2

4.5.1.4

AO /

Spec. Ref.

02.3 constant velocity allow constant speed (in a 1 AO1

straight line) 4.5.6.2.1

do not accept stationary

allow constant acceleration if a

mathematical error in 02.2

gives a non-zero value for

resultant force

AO /

Spec. Ref.

02.4 any one from: allow lift, thrust and water 1 AO1

• tension resistance 4.5.1.2

• normal contact (force) allow normal reaction (force)

• upthrust

ignore drag– HYSICS – 8463/2H –

AO /

Question Answers Mark

Spec. Ref.

02.5 horizontal line drawn to 10s 1 AO3

along the x-axis 4.5.6.1.4

10 line with a positive gradient allow an upward curving line 1

starting from 10 s with increasing gradient starting

from 10 s

AO /

Spec. Ref.

02.6 line of best fit drawn and do not accept a straight line 1 AO2

extrapolated to 10 km 4.5.5.2

28 (kPa) allow 26 to 32 (kPa) 1

allow a value correctly

extrapolated from their line

allow 2 marks for a correct

mathematically extrapolated

value

AO /

Spec. Ref.

02.7 the average density of the air 1 AO3

above the aeroplane decreases 4.5.5.2

Total Question 2 10

How to answer it

Forces, Motion, and Atmospheric Pressure Study Guide

What this question tests

This multi-part question assesses core mechanics and pressure topics from AQA GCSE Physics. Key skills tested include calculating displacement from scale drawings, determining resultant horizontal forces, identifying contact forces, converting distance-time graphs into velocity-time graphs, interpreting atmospheric pressure scatter graphs with extrapolation, and understanding pressure variations with height in the atmosphere.

Part 02.1

Displacement from a Scale Drawing

✅ Correct Answer

  • Length measured on map: 7.1 cm (allowed range: 7.0 cm to 7.3 cm)
  • Converted displacement: 497 m (allowed range: 490 m to 511 m)

📐 Calculation Steps

  1. Measure: Use a ruler to find the straight-line distance from start to finish on Figure 3.
  2. Scale: Multiply your measured centimetre value by the scale factor ( 70 m per 1 cm).
  3. Example: 7.1 cm × 70 = 497 m.

❌ Common Errors

  • Measuring along the curved path instead of the straight-line distance (displacement must be a straight vector).
  • Forgetting to multiply by 70, or misapplying the scale ratio. Ecf (error carried forward) is allowed if you multiply *your* measured length correctly by 70.
Awarded: [2 marks] — 1 mark for correct distance measurement in cm, 1 mark for correct conversion to metres using the scale.
Part 02.2

Resultant Horizontal Force

✅ Correct Answer

  • 0 N (or zero)

💡 Key Knowledge

  • Resultant force = Thrust − (Air resistance + Friction)
  • 14,000 N − (4500 N + 9500 N) = 14,000 N − 14,000 N = 0 N.

🧠 Exam Technique

  • Always sum forces acting in the opposing direction before subtracting them from the forward thrust.
Awarded: [1 mark]
Part 02.3

Describing Motion

✅ Correct Answer

  • Constant velocity (or constant speed in a straight line)

❌ Common Errors

  • Writing "stationary" (zero resultant force means motion does not change, not that it stops).
  • Failing to state "in a straight line" if only writing speed.
Awarded: [1 mark]
Part 02.4

Contact Forces

✅ Correct Answer (any one)

  • Tension
  • Normal contact force (or normal reaction)
  • Upthrust

❌ Common Errors

  • Naming non-contact forces such as gravity, magnetic force, or electrostatic force.
  • Writing "drag" (mark scheme ignores drag in this specific context as air resistance/friction are already named).
Awarded: [1 mark]
Part 02.5

Sketching a Velocity-Time Graph

✅ Correct Answer

  • A horizontal line drawn along the x-axis (velocity = 0) from 0 s to 10 s (representing stopping/stationary).
  • A straight line with a positive gradient starting from 10 s (representing constant acceleration).

🧠 Exam Technique

  • Translate the curved distance-time graph features carefully: an increasing gradient on a distance-time graph means increasing velocity (acceleration).
Awarded: [2 marks] — 1 mark for the flat zero line up to 10s, 1 mark for the upward sloping line starting at 10s.
Part 02.6

Extrapolating a Pressure Graph

✅ Correct Answer

  • Line of best fit drawn and extrapolated to 10 km.
  • 28 kPa (accepted range: 26 kPa to 32 kPa, or based on student's drawn line).

📐 Calculation & Graph Steps

  1. Use a clear ruler to draw a smooth line of best fit through the plotted points on Figure 7.
  2. Extend (extrapolate) the line carefully all the way across to a height of 10 km on the x-axis.
  3. Read off the corresponding value on the vertical pressure axis.
Awarded: [2 marks] — 1 mark for valid line of best fit/extrapolation, 1 mark for reading 28 kPa (or consistent with student line).
Part 02.7

Atmospheric Density with Height

✅ Correct Answer

  • The average density of the air above the aeroplane decreases. (Tick this box)

💡 Key Knowledge

  • As altitude increases, air particles become more spread out, meaning air density drops. This is why atmospheric pressure also drops with height.
Awarded: [1 mark]

Topics

Physics · P5: Forces

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