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Pearson Edexcel ACTUAL SUMMER 2024 9FM0/4C GCE In A Level Further Mathematics (9FM0) Paper 4C Further Mechanics 2 Question Paper + Mark Scheme£9.38
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Pearson Edexcel
ACTUAL SUMMER 2024
9FM0/4C
GCE
In A Level Further Mathematics (9FM0) Paper 4C
Further Mechanics 2
Question Paper + Mark Scheme
, Candidate surname Other names
Centre Number Candidate Number
Further Mathematics
■ ■
Advanced
PAPER 4C: Further Mechanics 2
Marks
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,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
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
• Unless
working may not gain full credit.
otherwise indicated, whenever a value of g is required, take g = 9.8 m s –2
and give your answer to either 2 significant figures or 3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The are 7for
marks questions in this question
each question paper.
are shown The total mark for this paper is 75.
in brackets
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
,1. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
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 ms−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.
DO NOT WRITE IN THIS AREA
(1)
(c) Find the value of x when t = 2
(4)
DO NOT WRITE IN THIS AREA
2
■■■■
,
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
■■■■
Question 1 continued
3
Turn over
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