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 questionQuestion
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
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
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.
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.
• 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.
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
• 1.2 m
• 1.23 m
• 1.225 m
Do not accept 1.22 m according to the mark scheme.
📐 Calculations
- Use acceleration equation:
a = Δv / t - Substitute values:
9.8 = Δv / 0.5 - Find the change in velocity:
Δv = 9.8 × 0.5 = 4.9 m/s - Since the initial velocity is 0 m/s, the final velocity is:
v = 4.9 m/s - Now use:
v² − u² = 2as - Substitute values:
4.9² − 0² = 2 × 9.8 × s - Rearrange:
s = 4.9² / (2 × 9.8) - Calculate:
s = 24.01 / 19.6 = 1.225... - 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
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.