AQA GCSE Combined Science: Trilogy Physics Paper 2 (Higher), 2022: Question 7

12 marks · Standard Demand difficulty · Extended Answer

Draw the forces on a stationary apple and calculate the distance it falls in 0.50 s, then evaluate whether assuming a constant acceleration of 9.8 m/s² is valid.

Practise this question

Question

The question shows Figure 11, a diagram of an apple hanging from a tree branch by its stem, with an X marking the apple’s centre of mass. Question 07.1 asks the student to draw two arrows on the apple to show the forces acting on it. Question 07.2 states that it takes 0.50 seconds for the apple to fall to the ground, gives an initial velocity of 0 m/s and acceleration due to gravity of 9.8 m/s², and asks the student to calculate the distance fallen using the Physics Equations Sheet. Question 07.3 asks the student to evaluate the assumption that the acceleration was constant at 9.8 m/s². The page includes answer lines and the mark allocations of 2 marks, 6 marks, and 4 marks for the three parts.
Question text

07 Figure 11 shows a stationary apple hanging from a tree.

The X marks the centre of mass of the apple.

Figure 11

07.1 Draw two arrows on Figure 11 to show the forces acting on the apple.

[2 marks]

07.2 It takes 0.50 s for the apple to fall to the ground.

The initial velocity of the apple is 0 m/s

acceleration due to gravity = 9.8 m/s2

Calculate the distance fallen by the apple.

Use the Physics Equations Sheet.

[6 marks]

25 Distance = m

07.3 In Question 07.2 it was assumed that the acceleration was a constant 9.8 m/s2

Evaluate this assumption.

[4 marks]

Mark scheme

Show the mark scheme The mark scheme shows that for 07.1 the apple should have two vertical arrows in opposite directions away from point X, with both arrows the same length; an upwards arrow starting from the stem is allowed and labels are ignored. For 07.2 the worked solution uses acceleration equals change in velocity over time, giving a final velocity of 4.9 m/s, then substitutes into v² - u² = 2as and calculates the distance as 1.2 m, with small rounding variations accepted. For 07.3 the scheme accepts explanations that air resistance increases as the apple falls so the resultant force and acceleration decrease, meaning acceleration is not constant and the assumption is poor, or alternatively that over a short fall air resistance is negligible so the resultant force and acceleration are approximately constant and the assumption is good.

Question 7

AO /

Question Answers Extra information Mark

Spec. Ref.

07.1 two vertical arrows in opposite allow if the upwards arrow 1 AO1

directions away from point X starts from the stem 6.5.4.2.1

ignore any labels

both arrows the same length dependent on MP1 1

AO /

Spec. Ref.

07.2 ∆ⱱ 1 AO2

9.8 =

0.5

6.5.4.1.5

Δv = 9.8 × 0.5 1

final velocity = Δv = 4.9 (m/s) 1

4.92 – 02 = 2 × 9.8 × s allow a correct substitution of an 1

incorrectly calculated value of

final velocity

4.92

s = allow a correct rearrangement of 1

2 × 9.8

an incorrectly calculated value

of final velocity

s = 1.2 m allow 1.23 or 1.225 1

do not accept 1.22

allow a correct calculation using

an incorrectly calculated value

of final velocity

AO /

Spec. Ref.

07.3 as the apple falls / accelerates allow there is air resistance 1

air resistance increases AO1

acting on the apple as it falls

6.5.4.1

so resultant force decreases 1

so acceleration will decrease MP3 dependent on MP1 or MP2 1

being awarded

acceleration will not be constant, MP4 dependent on MP1 or MP2 1

so not a good assumption being awarded

OR

the apple only falls for a short

time/distance (1)

air resistance is negligible (1)

so resultant force is constant (1) MP3 dependent on MP1 or MP2

being awarded

therefore acceleration is MP4 dependent on MP1 or MP2

constant, so good assumption being awarded

(1)

Total Question 7 12

How to answer it

Standard Demand

Forces on a Hanging Apple and Falling Motion

What this question tests

This question tests your understanding of balanced forces on a stationary object, using SUVAT-style motion equations for a falling object, and evaluating whether assuming constant acceleration is realistic. You need to show correct force directions, use equations carefully with units, and explain how air resistance affects resultant force and acceleration.

Question 07.1

Part (a): Forces acting on the apple

Draw two arrows on Figure 11 to show the forces acting on the apple. [2 marks]

✅ Correct answer

  • Draw two vertical arrows in opposite directions away from point X.
  • One arrow points downwards from X for the weight.
  • One arrow points upwards for the tension/support force.
  • The two arrows must be the same length because the apple is stationary, so the forces are balanced.
Mark breakdown:
• 1 mark for two vertical arrows in opposite directions away from X
• 1 mark for both arrows being the same length

💡 Key knowledge

  • A stationary object has balanced forces.
  • Balanced forces mean resultant force = 0 N.
  • If resultant force is zero, the object does not accelerate.
  • The mark scheme allows the upward arrow to start from the stem.
  • Labels are not essential here because the mark scheme says to ignore labels.

🧠 Exam technique

  • Because the question says the apple is stationary, immediately think: forces are equal and opposite.
  • In a force diagram, arrow direction and length matter.
  • For full marks, don’t just draw two arrows — make sure they are the same size.

❌ Common errors

  • Drawing arrows of different lengths even though the apple is stationary.
  • Drawing arrows that are not vertical.
  • Forgetting that the downward force should act from the centre of mass (X).
  • Adding extra forces that do not act directly on the apple.
Question 07.2

Part (b): Calculate the distance fallen

It takes 0.50 s for the apple to fall to the ground. Initial velocity = 0 m/s, acceleration due to gravity = 9.8 m/s². Calculate the distance fallen. [6 marks]

✅ Correct answer

Distance = 1.2 m

The mark scheme accepts:
• 1.2 m
• 1.23 m
• 1.225 m
Do not accept 1.22 m according to the mark scheme.

📐 Calculations

  1. Use acceleration equation:
    a = Δv / t
  2. Substitute values:
    9.8 = Δv / 0.5
  3. Find the change in velocity:
    Δv = 9.8 × 0.5 = 4.9 m/s
  4. Since the initial velocity is 0 m/s, the final velocity is:
    v = 4.9 m/s
  5. Now use:
    v² − u² = 2as
  6. Substitute values:
    4.9² − 0² = 2 × 9.8 × s
  7. Rearrange:
    s = 4.9² / (2 × 9.8)
  8. Calculate:
    s = 24.01 / 19.6 = 1.225...
  9. Give the final answer as:
    s = 1.2 m

💡 Key knowledge

  • u = initial velocity
  • v = final velocity
  • a = acceleration
  • t = time
  • s = distance moved
  • This question expects you to use equations from the Physics Equations Sheet in a logical sequence.
  • The method in the mark scheme finds final velocity first, then uses it to find distance.

🧠 Exam technique

  • Show every stage clearly — this question is worth 6 marks, so method marks matter.
  • Even if you make an earlier mistake, you can still get later marks by using your value correctly. This is called error carried forward.
  • Write units clearly: m/s, m/s², and m.
  • Use the exact calculator value until the end, then round your final answer.

❌ Common errors

  • Using the wrong equation straight away without finding v.
  • Forgetting that u = 0 m/s.
  • Writing v = 9.8 / 0.5 instead of v = 9.8 × 0.5 .
  • Not squaring v in v² − u² = 2as .
  • Giving the answer as 1.22 m — the mark scheme specifically says this should not be accepted.

📐 Mark-by-mark method from the mark scheme

  • 9.8 = Δv / 0.5 → 1 mark
  • Δv = 9.8 × 0.5 → 1 mark
  • final velocity = 4.9 m/s → 1 mark
  • 4.9² − 0² = 2 × 9.8 × s → 1 mark
  • s = 4.9² / (2 × 9.8) → 1 mark
  • s = 1.2 m → 1 mark
Question 07.3

Part (c): Evaluate the assumption of constant acceleration

In Question 07.2 it was assumed that the acceleration was a constant 9.8 m/s². Evaluate this assumption. [4 marks]

✅ Correct answers

Best full-mark evaluation:

  • As the apple falls, air resistance increases.
  • So the resultant force decreases.
  • So the acceleration decreases.
  • Therefore the acceleration is not constant, so this is not a good assumption.

Alternative full-mark evaluation also allowed:

  • The apple only falls for a short time/distance.
  • So air resistance is negligible.
  • Therefore the resultant force is approximately constant.
  • So the acceleration is approximately constant, making it a good assumption.

💡 Key knowledge

  • Weight acts downward and is roughly constant.
  • Air resistance acts upward and increases as speed increases.
  • Resultant force = weight − air resistance.
  • If resultant force changes, acceleration changes because of F = ma.
  • This means falling objects do not always accelerate at exactly 9.8 m/s² once air resistance matters.

🧠 Exam technique

  • This is an evaluate question, so do more than state one fact.
  • Link ideas in a chain:
    air resistance increases → resultant force decreases → acceleration decreases
  • End with a judgement such as:
    “so it is not a good assumption”
    or
    “so it is a reasonable assumption for a short fall”
  • Top responses clearly explain why acceleration changes, not just that “air resistance exists”.

❌ Common errors

  • Saying only “there is air resistance” without explaining the effect on resultant force or acceleration.
  • Forgetting to make a final judgement about whether the assumption is good or not good.
  • Confusing weight with resultant force.
  • Saying the acceleration stays 9.8 m/s² no matter what, even when air resistance increases.

🧠 Examiner insight

  • The mark scheme rewards a linked explanation, not isolated statements.
  • Marks 3 and 4 are dependent on the earlier points being made: you need the force argument before concluding about acceleration.
  • Strong answers either:
    • explain that increasing air resistance means acceleration is not constant, or
    • justify that for a short fall, air resistance may be so small that the assumption is reasonable.

Quick full-mark recap

✅ 07.1

Two equal-length vertical arrows in opposite directions away from X.

✅ 07.2

v = 9.8 × 0.5 = 4.9 m/s

s = 4.9² / (2 × 9.8) = 1.2 m

✅ 07.3

As speed increases, air resistance increases, so resultant force and acceleration decrease. Therefore acceleration is not truly constant.

Topics

Physics · P5: Forces

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