1|Page
# PEARSON EDEXCEL LEVEL 3 GCE
**MORNING (TIME: 1 HOUR 30 MINUTES)**
## PAPER REFERENCE 9FM0/3C
# FURTHER MATHEMATICS**ADVANCED**
## PAPER 3C: FURTHER MECHANICS 1
**You must have:**
Mathematical Formulae and Statistical Tables (Green), calculator
**Candidates may use any calculator permitted by Pearson
regulations.**
Calculators must not have the facility for algebraic manipulation,
differentiation and integration, or have retrievable mathematical
formulae stored in them.
**Instructions**
- Use **black ink** or **ball-point pen**.
- Fill in the boxes at the top of this page with your name, centre number
and candidate number.
,2|Page
- **Answer all questions**.
- 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 numerical 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**
- 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**.
- The marks for each question are shown in brackets **– use this as a
guide** as to how much time to spend on each question.
**Advice**
- Read each question carefully before you start to answer it.
- Try to answer every question.
- Check your answers if you have time at the end.
**Unless otherwise indicated, whenever a numerical 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.**
, 3|Page
**(Total for Question 1 is 8 marks)**
## PRACTICE QUESTION PAPER
**Answer ALL questions. Write your answers in the spaces provided.**
---
**1.** A van of mass 750 kg is moving up a straight road inclined at an
angle β to the horizontal, where sin β = 1/21.
At the instant when the speed of the van is v m s⁻¹, the resistance to the
motion of the van from non‑gravitational forces is modelled as a force of
magnitude λv newtons, where λ is a constant.
When the engine of the van is working at a constant rate of 13 kW, the
van moves up the road at a constant speed of 20 m s⁻¹.
**(a)** Show that λ = 15
**(4)**
Later on, the van is moving along a straight horizontal road.
At the instant when the speed of the van is v m s⁻¹, the resistance to the
motion of the van is modelled as a force of magnitude 15v newtons.
# PEARSON EDEXCEL LEVEL 3 GCE
**MORNING (TIME: 1 HOUR 30 MINUTES)**
## PAPER REFERENCE 9FM0/3C
# FURTHER MATHEMATICS**ADVANCED**
## PAPER 3C: FURTHER MECHANICS 1
**You must have:**
Mathematical Formulae and Statistical Tables (Green), calculator
**Candidates may use any calculator permitted by Pearson
regulations.**
Calculators must not have the facility for algebraic manipulation,
differentiation and integration, or have retrievable mathematical
formulae stored in them.
**Instructions**
- Use **black ink** or **ball-point pen**.
- Fill in the boxes at the top of this page with your name, centre number
and candidate number.
,2|Page
- **Answer all questions**.
- 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 numerical 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**
- 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**.
- The marks for each question are shown in brackets **– use this as a
guide** as to how much time to spend on each question.
**Advice**
- Read each question carefully before you start to answer it.
- Try to answer every question.
- Check your answers if you have time at the end.
**Unless otherwise indicated, whenever a numerical 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.**
, 3|Page
**(Total for Question 1 is 8 marks)**
## PRACTICE QUESTION PAPER
**Answer ALL questions. Write your answers in the spaces provided.**
---
**1.** A van of mass 750 kg is moving up a straight road inclined at an
angle β to the horizontal, where sin β = 1/21.
At the instant when the speed of the van is v m s⁻¹, the resistance to the
motion of the van from non‑gravitational forces is modelled as a force of
magnitude λv newtons, where λ is a constant.
When the engine of the van is working at a constant rate of 13 kW, the
van moves up the road at a constant speed of 20 m s⁻¹.
**(a)** Show that λ = 15
**(4)**
Later on, the van is moving along a straight horizontal road.
At the instant when the speed of the van is v m s⁻¹, the resistance to the
motion of the van is modelled as a force of magnitude 15v newtons.
