AQA GCSE Physics Physics Paper 2 (Foundation), June 2023: Question 10

10 marks · Standard Demand difficulty · Short Answer

Analyze an aeroplane's journey involving displacement calculation, resultant forces, motion description, contact forces, velocity-time graph sketching, atmospheric pressure estimation, and density changes with height.

Practise this question

Question

A series of sub-questions about an aeroplane's movement, including a scaled diagram of the route taken (Figure 25), a force diagram showing horizontal forces (Figure 26), a distance-time graph (Figure 27), a blank velocity-time graph grid (Figure 28), a scatter graph of atmospheric pressure against height (Figure 29), and multiple-choice options about air density.
Question text

10 Figure 25 shows the route an aeroplane takes as it travels from an airport terminal to

the runway.

Figure 25 has been drawn to scale.

Figure 25

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

finish point on Figure 25.

[2 marks]

Displacement = m

Figure 26 shows the direction of the horizontal forces acting on the aeroplane as it

moves in a straight line towards the runway.

Figure 26

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

[1 mark]

Resultant horizontal force = N

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

[1 mark]

10.4 Air resistance and friction are contact forces.

Give one other example of a contact force.

[1 mark]

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

Figure 27 shows a distance–time sketch-graph for this stage of the journey.

Figure 27

Draw the velocity–time sketch-graph for this stage of the journey on Figure 28.

[2 marks]

Figure 28

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

Figure 29 shows how atmospheric pressure varies with the height of the aeroplane

above the ground.

Figure 29

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

ground is 10 km.

[2 marks]

Atmospheric pressure46 = kPa

10.7 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.

The volume of air below the aeroplane decreases.

Mark scheme

Show the mark scheme Mark scheme for question 10 containing answers and acceptable ranges for displacement, resultant force, motion description, contact force examples, velocity-time graph sketching instructions, atmospheric pressure extrapolation from the graph, and the correct multiple-choice tick for air density.

Question 10

AO /

Question Answers Extra information Mark

Spec. Ref.

10.1 7.1 (cm) allow 7.0 to 7.3 (cm) 1 AO2

4.5.6.1.1

497 (m) allow 70 × their measurement of 1

displacement

AO /

Spec. Ref.

10.2 0 (N) 1 AO2

4.5.1.4

AO /

Spec. Ref.

10.3 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.

10.4 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

AO /

Question Answers Mark

Spec. Ref.

10.5 horizontal line drawn to 10s 1 AO3

along the x-axis 4.5.6.1.4

line with a positive gradient allow an upward curving line 1 25

starting from 10 s with increasing gradient starting

from 10 s

AO /

Spec. Ref.

10.6 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.

10.7 the average density of the air 1 AO3

above the aeroplane decreases 4.5.5.2

Total Question 10 10

How to answer it

Aeroplane Motion, Forces, and Pressure Study Guide

What this question tests

This multi-part GCSE Physics question assesses your ability to measure displacement using scale diagrams, calculate resultant forces, interpret motion graphs (distance-time and velocity-time), identify contact forces, interpret scatter graphs with lines of best fit, and understand atmospheric pressure changes with altitude.

Question Part 10.1

Displacement from Scale Drawings

✅ Correct Answer

  • Length: 7.1 cm (Acceptable range: 7.0 cm to 7.3 cm)
  • Displacement: 497 m (Calculated as 7.1 × 70)

💡 Key Knowledge

Displacement is a vector quantity defined as the straight-line distance from the start point to the finish point in a stated direction. Always use a ruler to measure directly between the start and finish dots, ignoring the curved path taken.

📐 Calculation Steps

  1. Step 1: Measure the straight-line distance on Figure 25 using a ruler in cm. (e.g., 7.1 cm)
  2. Step 2: Multiply your measured length by the scale factor given ( 70 m per cm).
  3. Step 3: 7.1 cm × 70 m/cm = 497 m .

❌ Common Errors

Students often try to measure the curved route using string or by breaking it into sections. Remember: displacement only cares about the direct straight-line distance, not the total distance travelled!

Awarded: [2 marks] — 1 mark for measuring the line correctly within tolerance, and 1 mark for multiplying by the scale.
Question Part 10.2

Resultant Horizontal Force

✅ Correct Answer

  • Resultant horizontal force = 0 N

💡 Key Knowledge

To find the resultant force, combine forces acting in opposite directions. Forces pointing left are negative, and forces pointing right are positive.

📐 Calculation Steps

  1. Sum of forces to the right (Thrust) = 14,000 N
  2. Sum of forces to the left (Friction + Air resistance) = 9,500 N + 4,500 N = 14,000 N
  3. Resultant force = 14,000 N - 14,000 N = 0 N

🧠 Exam Technique

Always double-check if there are multiple opposing forces on one side. Here, you had to add friction and air resistance together before subtracting them from the forward thrust.

Awarded: [1 mark] for 0 N.
Question Part 10.3

Describing Motion from Forces

✅ Correct Answer

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

💡 Key Knowledge

Newton's First Law states that if the resultant force acting on an object is zero ( 0 N ), the object will remain at rest or continue to move at a constant velocity in a straight line.

❌ Common Errors

Do not write "stationary". Because the aeroplane was already moving, zero resultant force means it keeps moving at a steady speed, it does not suddenly stop.

Awarded: [1 mark] for stating constant velocity or constant speed.
Question Part 10.4

Identifying Contact Forces

✅ Correct Answer

  • Any one from: tension, normal contact force (or normal reaction), or upthrust.

💡 Key Knowledge

A contact force requires two objects to be physically touching to exert a force on each other. Examples include friction, air resistance, tension, normal contact force, and upthrust.

❌ Common Errors

Do not list non-contact forces like gravity (weight), electrostatic force, or magnetic force. Also, avoid writing "drag" if air resistance is already stated in the stem.

Awarded: [1 mark] for naming a valid contact force.
Question Part 10.5

Sketching Velocity-Time Graphs

✅ Correct Answer

  • A horizontal line along the x-axis (or constant low velocity) from 0 to 10 s .
  • A straight line with a positive gradient (sloping upwards) starting from 10 s .

💡 Key Knowledge

Converting graphs requires translating features:

  • A flat, horizontal section on a distance-time graph (stopped) becomes zero velocity on a v-t graph.
  • An increasing gradient (accelerating) on a distance-time graph becomes an upward sloping line (constant acceleration) on a velocity-time graph.

🧠 Exam Technique

Pay close attention to the time axis values. The transition from stationary to accelerating happens precisely at 10 seconds as shown in Figure 27.

Awarded: [2 marks] — 1 mark for the horizontal section up to 10 s, and 1 mark for the upward sloping line starting at 10 s.
Question Part 10.6

Extrapolating Scatter Graphs

✅ Correct Answer

  • Atmospheric pressure = 28 kPa (Acceptable range: 26 to 32 kPa, depending on your line of best fit).

💡 Key Knowledge

Extrapolation means extending a line of best fit beyond the plotted data points to estimate values outside the measured range.

📐 Working Out

  1. Carefully draw a smooth curve or line of best fit passing through the plotted points on Figure 29.
  2. Continue the line smoothly up to a height of 10 km on the x-axis.
  3. Read across to the y-axis to find the corresponding pressure value.

❌ Common Errors

Do not connect the dots with straight dot-to-dot lines unless instructed; a smooth line of best fit is required for curved relationships.

Awarded: [2 marks] — 1 mark for a correct line of best fit extrapolated to 10 km, and 1 mark for reading the correct pressure value (26–32 kPa).
Question Part 10.7

Atmosphere Properties with Altitude

✅ Correct Answer

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

💡 Key Knowledge

As altitude (height above ground) increases, the number of air molecules per unit volume decreases. This means the atmosphere becomes less dense, which is why atmospheric pressure also drops as you go higher.

🧠 Exam Technique

Read all four options carefully before ticking. Ensure you only place a single tick in the correct box to avoid losing the mark.

Awarded: [1 mark] for ticking the correct statement.

Topics

Physics · P5: Forces

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