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Pearson Edexcel Level 3 GCE
Monday 24 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4C
Further Mathematics
Advanced
PAPER 4C: Further Mechanics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball‑point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• labelled.
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• and
working may not gain full credit.
–2
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
give your answer to either 2 significant figures or 3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 7 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P75691A
©2024 Pearson Education Ltd.
F:1/1/
*P75691A0128*
, 1. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
A particle P moves along a straight line.
Initially P is at rest at the point O on the line.
At time t seconds, where t 0
• the displacement of P from O is x metres
• the velocity of P is v m s–1 in the positive x direction
96
• the acceleration of P is m s
2 in the positive x direction
3t 5
3
q
(a) Show that, at time t seconds, v p
, where p and q are constants to
3t
5
2
be determined.
(4)
(b) Find the limiting value of v as t increases.
(1)
(c) Find the value of x when t = 2
(4)
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2
*P75691A0228*
Scroll below to see the sample of the paper
O2ered to you by Tyrion Papers
https://tyrionpapers.com
If you have any issues or queries, do reach out to
I’ll help you out for sure
We have locked papers, Predicted Papers, Topic tests, Notes,
question banks and so much more
, Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
tyrionpapers.com
Pearson Edexcel Level 3 GCE
Monday 24 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4C
Further Mathematics
Advanced
PAPER 4C: Further Mechanics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball‑point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• labelled.
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• and
working may not gain full credit.
–2
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
give your answer to either 2 significant figures or 3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 7 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P75691A
©2024 Pearson Education Ltd.
F:1/1/
*P75691A0128*
, 1. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
A particle P moves along a straight line.
Initially P is at rest at the point O on the line.
At time t seconds, where t 0
• the displacement of P from O is x metres
• the velocity of P is v m s–1 in the positive x direction
96
• the acceleration of P is m s
2 in the positive x direction
3t 5
3
q
(a) Show that, at time t seconds, v p
, where p and q are constants to
3t
5
2
be determined.
(4)
(b) Find the limiting value of v as t increases.
(1)
(c) Find the value of x when t = 2
(4)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P75691A0228*
