AQA-7367-3M-FURTHER MATHEMATICS QUESTION PAPER 3M:Mechanics-A LEVEL-7Jun24-PM
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Course
AQA FURTHER MATHEMATICS
Institution
AQA FURTHER MATHEMATICS
AQA-7367-3M-FURTHER MATHEMATICS QUESTION PAPER 3M:Mechanics-A LEVEL-7Jun24-PM.
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(02) G/Jun24/7367/3M
Answer all questions in the spaces provided.
1 A particle moves in a circular path so that at time t seconds its position vector, r metres,
is given by
r ...
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Surname _________________________________________________________________________
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Forename(s) _________________________________________________________________________
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Candidate signature _________________________________________________________________________
I declare this is my own work.
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A-level
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FURTHER MATHEMATICS
Paper 3 Mechanics
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Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials
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For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
A‑level Mathematics and A‑level Further Mathematics. Question Mark
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l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question Paper/Answer Book
2
for which you are entered (either Discrete or Statistics). You will have
ER
2 hours to complete both papers. 3
Instructions 4
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
5
l Fill in the boxes at the top of this page.
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l Answer all questions. 6
l You must answer each question in the space provided for that question.
If you require extra space for your answer(s), use the lined pages at the end 7
of this book. Write the question number against your answer(s).
8
l Do not write outside the box around each page or on blank pages.
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l Show all necessary working; otherwise marks for method may be lost. 9
l Do all rough work in this book. Cross through any work that you do not want
to be marked. TOTAL
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Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l You do not necessarily need to use all the space provided.
G/LM/Jun24/G4006/V7 7367/3M
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Answer all questions in the spaces provided.
1 A particle moves in a circular path so that at time t seconds its position vector, r metres,
is given by
r = 4 sin(2t)i + 4 cos(2 t )j
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Find the velocity of the particle, in m s –1, when t = 0
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Circle your answer.
[1 mark]
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8i –8j 8j 8i – 8j
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2 As a particle moves along a straight horizontal line, it is subjected to a force
F newtons that acts in the direction of motion of the particle.
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t
At time t seconds, F =
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Calculate the magnitude of the impulse on the particle between t = 0 and t = 3
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Circle your answer.
[1 mark]
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0.3 N s 0.6 N s 0.9 N s 1.8 N s
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G/Jun24/7367/3M
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3 A conical pendulum consists of a light string and a particle of mass m kg
The conical pendulum completes horizontal circles with radius r metres and
angular speed ω radians per second. The string makes an angle θ with the
downward vertical.
The tension in the string is T newtons.
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The conical pendulum and the forces acting on the particle are shown in the diagram.
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θ
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A
T
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mg
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Which one of the following statements is correct?
Tick () one box.
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[1 mark]
T cos θ = mrω 2
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T sin θ = mrω 2
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mω2
T cos θ = r
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mω2
T sin θ = r
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Turn over U
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G/Jun24/7367/3M
Page 3 of 16
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