-
Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
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 25 May 2023
Afternoon Paper
reference 8MA0/22
Mathematics
Advanced Subsidiary
PAPER 22: 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,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions
• Answer
are clearly labelled.
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 working may not gain full credit.
• Unless otherwise indicated, wherever 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.
–2
Information
•• AThebooklet 'Mathematical Formulae and Statistical Tables' is provided.
• The
total mark for this part of the examination is 30. There are 4 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
P74090A
©2022 Pearson Education Ltd.
N:1/1/1/1/
*P74090A0112*
,-
Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
1.
Velocity (m s–1)
4 (P)
X (S)
0 5 27.5 Time (s)
Figure 1
Two children, Pat (P) and Sam (S), run a race along a straight horizontal track.
Both children start from rest at the same time and cross the finish line at the same time.
In a model of the motion:
Pat accelerates at a constant rate from rest for 5 s until reaching a speed of 4 m s–1 and
then maintains a constant speed of 4 m s–1 until crossing the finish line.
Sam accelerates at a constant rate of 1 m s–2 from rest until reaching a speed of X m s–1
and then maintains a constant speed of X m s–1 until crossing the finish line.
Both children take 27.5 s to complete the race.
The velocity-time graphs shown in Figure 1 describe the model of the motion of each
child from the instant they start to the instant they cross the finish line together.
Using the model,
(a) explain why the areas under the two graphs are equal,
(1)
(b) find the acceleration of Pat during the first 5 seconds,
(1)
(c) find, in metres, the length of the race,
(2)
(d) find the value of X, giving your answer to 3 significant figures.
(4)
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2
*P74090A0212*
, - Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
Question 1 continued
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3
*P74090A0312* Turn over
Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
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 25 May 2023
Afternoon Paper
reference 8MA0/22
Mathematics
Advanced Subsidiary
PAPER 22: 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,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions
• Answer
are clearly labelled.
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 working may not gain full credit.
• Unless otherwise indicated, wherever 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.
–2
Information
•• AThebooklet 'Mathematical Formulae and Statistical Tables' is provided.
• The
total mark for this part of the examination is 30. There are 4 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
P74090A
©2022 Pearson Education Ltd.
N:1/1/1/1/
*P74090A0112*
,-
Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
1.
Velocity (m s–1)
4 (P)
X (S)
0 5 27.5 Time (s)
Figure 1
Two children, Pat (P) and Sam (S), run a race along a straight horizontal track.
Both children start from rest at the same time and cross the finish line at the same time.
In a model of the motion:
Pat accelerates at a constant rate from rest for 5 s until reaching a speed of 4 m s–1 and
then maintains a constant speed of 4 m s–1 until crossing the finish line.
Sam accelerates at a constant rate of 1 m s–2 from rest until reaching a speed of X m s–1
and then maintains a constant speed of X m s–1 until crossing the finish line.
Both children take 27.5 s to complete the race.
The velocity-time graphs shown in Figure 1 describe the model of the motion of each
child from the instant they start to the instant they cross the finish line together.
Using the model,
(a) explain why the areas under the two graphs are equal,
(1)
(b) find the acceleration of Pat during the first 5 seconds,
(1)
(c) find, in metres, the length of the race,
(2)
(d) find the value of X, giving your answer to 3 significant figures.
(4)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P74090A0212*
, - Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
Question 1 continued
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3
*P74090A0312* Turn over
