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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
Unless 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.
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 7 questions in this question paper. The total mark for this paper is 75.
– 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.
• 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.
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 ms2 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)
,Question 1 continued
, Question 1 continued
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
Unless 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.
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 7 questions in this question paper. The total mark for this paper is 75.
– 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.
• 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.
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 ms2 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)
,Question 1 continued
, Question 1 continued
