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AQA-7367-3M-FURTHER MATHEMATICS QUESTION PAPER 3M:Mechanics-A LEVEL-7Jun24-PM CA$19.59   Add to cart
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AQA-7367-3M-FURTHER MATHEMATICS QUESTION PAPER 3M:Mechanics-A LEVEL-7Jun24-PM
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AQA-7367-3M-FURTHER MATHEMATICS QUESTION PAPER 3M:Mechanics-A LEVEL-7Jun24-PM. 2 Do not write outside the box (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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  • October 30, 2024
  • 16
  • 2024/2025
  • Exam (elaborations)
  • Only questions

Subjects

  • 7367 3m
  • further mathematics
  • aqa 7367 3m further mathematics question paper 3m
  • aqa further mathematics paper 3m
  • further mathematics paper 3d 2024

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  • AQA FURTHER MATHEMATICS
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000001




AQA
AQA



Please write clearly in block capitals.


Centre number Candidate number




S
Surname _________________________________________________________________________




C
Forename(s) _________________________________________________________________________




TI
Candidate signature _________________________________________________________________________
I declare this is my own work.




A
A-level


EM
FURTHER MATHEMATICS
Paper 3 Mechanics
TH
Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials
A

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
M


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.
TH




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.
R




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
FU




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
Page 1 of 16

,000002

2
Do not write
outside the
box
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




S
Find the velocity of the particle, in m s –1, when t = 0




C
Circle your answer.
[1 mark]




TI
8i –8j 8j 8i – 8j




A
EM
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.
TH
t
At time t seconds, F =
5
Calculate the magnitude of the impulse on the particle between t = 0 and t = 3
A

Circle your answer.
[1 mark]
M


0.3 N s 0.6 N s 0.9 N s 1.8 N s
ER
TH
R
FU




(02)
G/Jun24/7367/3M
Page 2 of 16

, 000003

3
Do not write
outside the
box
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.




S
The conical pendulum and the forces acting on the particle are shown in the diagram.




C
θ




TI
A
T




EM
mg
TH
Which one of the following statements is correct?

Tick () one box.
A

[1 mark]

T cos θ = mrω 2
M


T sin θ = mrω 2
ER




mω2
T cos θ = r
TH




mω2
T sin θ = r
R
FU




Turn over U


(03)
G/Jun24/7367/3M
Page 3 of 16

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