A van of mass 900 kg 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 (500 + 7v) N.
When the engine of the van is working at a constant rate of 18 kW, the van is mov...
a van of mass 900 kg 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
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A/AS Level
PEARSON (PEARSON)
Further Mechanics 1
Further Mechanics 1
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Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Time 1 hour 30 minutes
Paper
reference 9FM0/3C
Further Mathematics
Advanced
PAPER 3C: Further Mechanics 1
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• are
Answer all questions and ensure that your answers to parts of questions
clearly labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• without working may
You should show sufficient working to make your methods clear. Answers
not gain full credit.
• take g = 9.8 m s and give your
Unless otherwise indicated,
−2
whenever a numerical value of g is required,
answer to either 2 significant figures or
3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 7 questions in this question paper. The total mark for this paper is 75.
• – use this asfora guide
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.
Try to answer every question.
•• Check your answers if you have time at the end.
Good luck with your examination.
Turn over
,1. A van of mass 900 kg 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 (500 + 7v) N.
When the engine of the van is working at a constant rate of 18 kW, the van is moving
along the road at a constant speed V m s−1
(a) Find the value of V.
(5)
Later on, the van is moving up a straight road that is inclined to the horizontal at an
1
angle θ , where sin θ =
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 (500 + 7v) N.
The engine of the van is again working at a constant rate of 18 kW.
(b) Find the acceleration of the van at the instant when v = 15
(4)
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