surname names
Number Number
Afternoon Paper
Further Mathematics � �
Advanced Subsidiary
Further Mathematics options
25: Further Mechanics 1
(Part of options C, E, H and J)
Candidates may use any calculator allowed 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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled.
– 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.
• The total mark for this part of the examination is 40. There are 4 questions.
– 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.
• Check your answers if you have time at the end. Turn over
,1. A car of mass 1000 kg moves along a straight horizontal road at a constant
speed U ms1 . The engine of the car is working at a rate of 20 kW.
The total resistance to the motion of the car is modelled as a constant force of
magnitude 1600 N.
Using the model,
(a) find the value of U.
(3)
Later on, the car moves down a straight road which is inclined to the horizontal at an
1
angle α, where sin α =
49
The total resistance to the motion of the car is again modelled as a constant
force of magnitude 1600 N.
At the instant when the engine of the car is working at a rate of 20 kW and the speed of
the car is 8 m s−1, the acceleration of the car is a m s−2
Using the model,
(b) find the value of a.
(4)
(c) State one improvement to the model that would make it more realistic.
(1)
2
■■■■
, Question 1 continued
3
■■■■ Turn over
Number Number
Afternoon Paper
Further Mathematics � �
Advanced Subsidiary
Further Mathematics options
25: Further Mechanics 1
(Part of options C, E, H and J)
Candidates may use any calculator allowed 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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled.
– 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.
• The total mark for this part of the examination is 40. There are 4 questions.
– 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.
• Check your answers if you have time at the end. Turn over
,1. A car of mass 1000 kg moves along a straight horizontal road at a constant
speed U ms1 . The engine of the car is working at a rate of 20 kW.
The total resistance to the motion of the car is modelled as a constant force of
magnitude 1600 N.
Using the model,
(a) find the value of U.
(3)
Later on, the car moves down a straight road which is inclined to the horizontal at an
1
angle α, where sin α =
49
The total resistance to the motion of the car is again modelled as a constant
force of magnitude 1600 N.
At the instant when the engine of the car is working at a rate of 20 kW and the speed of
the car is 8 m s−1, the acceleration of the car is a m s−2
Using the model,
(b) find the value of a.
(4)
(c) State one improvement to the model that would make it more realistic.
(1)
2
■■■■
, Question 1 continued
3
■■■■ Turn over
