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MECHANICS pastpaper 9709_s11_qp_41

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MECHANICS pastpaper 9709_s11_qp_41
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s er UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education
Advanced Subsidiary Level and Advanced Level

9709/41

MATHEMATICS
Paper 4 Mechanics 1 (M1)

May/June 2011
1 hour 15 minutes

*3847556196*

Additional Materials:

Answer Booklet/Paper
Graph Paper
List of Formulae (MF9)

READ THESE INSTRUCTIONS FIRST
If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet.
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use a soft pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Answer all the questions.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question.
Where a numerical value for the acceleration due to gravity is needed, use 10 m s−2.
The use of an electronic calculator is expected, where appropriate.
You are reminded of the need for clear presentation in your answers.
At the end of the examination, fasten all your work securely together.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
Questions carrying smaller numbers of marks are printed earlier in the paper, and questions carrying larger numbers of marks later in the paper.

This document consists of 3 printed pages and 1 blank page.
JC11 06_9709_41/3R
© UCLES 2011

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A car of mass 700 kg is travelling along a straight horizontal road. The resistance to motion is constant and equal to 600 N.
(i) Find the driving force of the car’s engine at an instant when the acceleration is 2 m s−2 .

[2]

(ii) Given that the car’s speed at this instant is 15 m s−1 , find the rate at which the

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