Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Thursday 19 June 2025
Afternoon Paper
reference 9MA0/32
Mathematics
Advanced
PAPER 32: Mechanics
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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
•• Use black ink or ball‑point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• labelled.
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Unless
working may not gain full credit.
−2
otherwise indicated, whenever a value of g is required, take g = 9.8 m s and
give your answer to either 2 significant figures or 3 significant figures.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The
total mark for this part of the examination is 50. There are 6 questions.
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.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P74094A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/1/1/1/1/
*P74094A0124*
,1. A car moves in a straight line along a horizontal road with constant acceleration 2 m s–2
The car is moving with speed 15 m s–1 in the direction of the acceleration when it passes
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
a signpost on the road.
The car is modelled as a particle.
(a) Use the model to find the speed of the car 4 s after passing the signpost.
(2)
Figure 1 below shows the horizontal forces acting on the car.
Given that
• the car has mass 800 kg
• the driving force of the engine has magnitude D newtons
• the resistance to the motion of the car has magnitude 400 N
• the acceleration of the car is 2 m s–2 in the direction of the driving force
(b) use the model to find the value of D.
(2)
2 m s–2
400 N DN
800 kg
Figure 1
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P74094A0224*
, Question 1 continued
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 4 marks)
3
*P74094A0324* Turn over
, 2.
5N
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
B (2 kg)
α
Figure 2
A small box B of mass 2 kg is dragged in a straight line, along a rough horizontal plane,
at a constant speed by a force of magnitude 5 N.
3
The line of action of the force makes an angle α with the plane, where sin α = ,
5
as shown in Figure 2.
(a) Show that the magnitude of the normal reaction of the plane on the box is 16.6 N.
(3)
At the instant when B is at the point O on the plane, the force of magnitude 5 N
is removed.
(b) Describe the motion of the box after the force of magnitude 5 N is removed.
(1)
(c) Find the magnitude of the normal reaction of the plane on the box after the force of
magnitude 5 N is removed.
(1)
Given that after the force of magnitude 5 N is removed
• the box is modelled as a particle
• air resistance is modelled as being negligible
• the coefficient of friction between the box and the plane is modelled as 0.2
• the speed of the box as it passes through O is 4 m s–1
• the box comes to rest at the point X on the plane
(d) use the model to find the length OX.
(4)
(e) State one limitation of the model, apart from ignoring air resistance, that could affect
your answer to part (d).
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4
*P74094A0424*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Thursday 19 June 2025
Afternoon Paper
reference 9MA0/32
Mathematics
Advanced
PAPER 32: Mechanics
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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
•• Use black ink or ball‑point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• labelled.
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Unless
working may not gain full credit.
−2
otherwise indicated, whenever a value of g is required, take g = 9.8 m s and
give your answer to either 2 significant figures or 3 significant figures.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The
total mark for this part of the examination is 50. There are 6 questions.
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.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P74094A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/1/1/1/1/
*P74094A0124*
,1. A car moves in a straight line along a horizontal road with constant acceleration 2 m s–2
The car is moving with speed 15 m s–1 in the direction of the acceleration when it passes
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
a signpost on the road.
The car is modelled as a particle.
(a) Use the model to find the speed of the car 4 s after passing the signpost.
(2)
Figure 1 below shows the horizontal forces acting on the car.
Given that
• the car has mass 800 kg
• the driving force of the engine has magnitude D newtons
• the resistance to the motion of the car has magnitude 400 N
• the acceleration of the car is 2 m s–2 in the direction of the driving force
(b) use the model to find the value of D.
(2)
2 m s–2
400 N DN
800 kg
Figure 1
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P74094A0224*
, Question 1 continued
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 4 marks)
3
*P74094A0324* Turn over
, 2.
5N
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
B (2 kg)
α
Figure 2
A small box B of mass 2 kg is dragged in a straight line, along a rough horizontal plane,
at a constant speed by a force of magnitude 5 N.
3
The line of action of the force makes an angle α with the plane, where sin α = ,
5
as shown in Figure 2.
(a) Show that the magnitude of the normal reaction of the plane on the box is 16.6 N.
(3)
At the instant when B is at the point O on the plane, the force of magnitude 5 N
is removed.
(b) Describe the motion of the box after the force of magnitude 5 N is removed.
(1)
(c) Find the magnitude of the normal reaction of the plane on the box after the force of
magnitude 5 N is removed.
(1)
Given that after the force of magnitude 5 N is removed
• the box is modelled as a particle
• air resistance is modelled as being negligible
• the coefficient of friction between the box and the plane is modelled as 0.2
• the speed of the box as it passes through O is 4 m s–1
• the box comes to rest at the point X on the plane
(d) use the model to find the length OX.
(4)
(e) State one limitation of the model, apart from ignoring air resistance, that could affect
your answer to part (d).
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4
*P74094A0424*
