AQA AS Level Physics Paper 2, June 2022: Question 25

1 mark · Medium difficulty · Multiple Choice

Identify the correct row describing the acceleration of a firework rocket before and immediately after its fuel is used up, given constant thrust and decreasing mass.

Practise this question

Question

Multiple choice question 25 asks to identify the row showing the acceleration of a firework rocket moving vertically upwards before and immediately after its fuel is used up. A table with four rows A, B, C, and D provides different combinations of acceleration before and after the fuel is exhausted, ignoring air resistance.
Question text

25 A firework rocket moves vertically upwards.

The rocket’s fuel burns at a steady rate to produce a constant thrust.

The mass of the rocket decreases with time.

Ignore the effects of air resistance on the rocket.

Which row shows the acceleration of the rocket before, and the acceleration immediately

after, the fuel has been used up?

[1 mark]

Acceleration before Acceleration immediately after

A increasing upwards constant downwards

B increasing upwards decreasing upwards

C constant upwards constant downwards

D decreasing upwards constant downwards

Mark scheme

Show the mark scheme The mark scheme indicates that the correct answer for question 25 is A, with the corresponding description 'increasing upwards constant downwards'.

25 A (AO2) increasing upwards constant downwards

How to answer it

Firework Rocket Acceleration

What this question tests

This question tests your understanding of Newton's Second Law of Motion (F = ma), how changing mass affects acceleration under a constant driving force, and free-fall kinematics once propulsion stops.

Question 25 Analysis

AQA AS Level Physics – Mechanics

✅ Correct Answer

Row A

Acceleration before: increasing upwards

Acceleration immediately after: constant downwards

💡 Key Knowledge

  • Newton's Second Law: rearranged as a = (T - mg) / m = (T / m) - g .
  • As fuel burns, mass ( m ) decreases while thrust ( T ) remains constant.
  • This causes the upward acceleration to continually grow.
  • Once fuel is used up, thrust becomes zero, leaving only gravity acting on the rocket.

🧠 Exam Technique

Break the question into two distinct physical phases:

  1. Before fuel runs out: Analyse the equation a = (T/m) - g . As m decreases, the term T/m increases, so a increases upwards. Eliminate rows C and D.
  2. Immediately after fuel runs out: T = 0 . The only force is weight downwards. Acceleration is equal to g downwards (constant). This rules out row B.

❌ Common Errors

  • Assuming constant acceleration: Students often mistakenly think a constant thrust gives a constant acceleration, forgetting that Newton's second law depends on the net force divided by the varying mass.
  • Confusing velocity with acceleration: Students selecting row B often mix up a decreasing rate of mass loss or changing speed with a "decreasing acceleration", failing to recognise that acceleration becomes completely uniform ( 9.81 m s⁻² ) once airborne without thrust.
Mark Allocation: 1 mark available for selecting option A (AO2 - Application of knowledge).

Topics

Physics · 3.4 Mechanics and materials

Question and mark scheme from the AQA AS Level Physics examination, Paper 2, June 2022. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.