S
IC
AT
EM
Please check the examination details below before entering your candidate information
TH
Candidate surname Other names
MA
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
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
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
Fill in the boxes at the top of this page with your name,
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.
• Answers without working
You should show sufficient working to make your methods clear.
may not gain full credit.
• and give your answer to eitherwherever
Unless otherwise indicated, a value of g is required, take g = 9.8 m s
2 significant figures or 3 significant figures.
–2
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 30. There are 4 questions.
• – usemarks
The for each question are shown in brackets
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.
Try to answer every question.
• Check your answers if you have time at the end.
Turn over
*P68658A0116*
P68658A
©2022 Pearson Education Ltd.
Q:1/1/1/
, S
IC
AT
EM
TH
MA
1. The point A is 1.8 m vertically above horizontal ground.
At time t = 0, a small stone is projected vertically upwards with speed U m s−1 from the
point A.
At time t = T seconds, the stone hits the ground.
The speed of the stone as it hits the ground is 10 m s−1
In an initial model of the motion of the stone as it moves from A to where it hits
the ground
• the stone is modelled as a particle moving freely under gravity
• the acceleration due to gravity is modelled as having magnitude 10 m s−2
Using the model,
(a) find the value of U,
(3)
(b) find the value of T.
(2)
(c) Suggest one refinement, apart from including air resistance, that would make the
model more realistic.
(1)
In reality the stone will not move freely under gravity and will be subject to air resistance.
(d) Explain how this would affect your answer to part (a).
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P68658A0216*
, S
IC
AT
EM
TH
MA
Question 1 continued
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
*P68658A0316*
3
Turn over
IC
AT
EM
Please check the examination details below before entering your candidate information
TH
Candidate surname Other names
MA
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
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
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
Fill in the boxes at the top of this page with your name,
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.
• Answers without working
You should show sufficient working to make your methods clear.
may not gain full credit.
• and give your answer to eitherwherever
Unless otherwise indicated, a value of g is required, take g = 9.8 m s
2 significant figures or 3 significant figures.
–2
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 30. There are 4 questions.
• – usemarks
The for each question are shown in brackets
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.
Try to answer every question.
• Check your answers if you have time at the end.
Turn over
*P68658A0116*
P68658A
©2022 Pearson Education Ltd.
Q:1/1/1/
, S
IC
AT
EM
TH
MA
1. The point A is 1.8 m vertically above horizontal ground.
At time t = 0, a small stone is projected vertically upwards with speed U m s−1 from the
point A.
At time t = T seconds, the stone hits the ground.
The speed of the stone as it hits the ground is 10 m s−1
In an initial model of the motion of the stone as it moves from A to where it hits
the ground
• the stone is modelled as a particle moving freely under gravity
• the acceleration due to gravity is modelled as having magnitude 10 m s−2
Using the model,
(a) find the value of U,
(3)
(b) find the value of T.
(2)
(c) Suggest one refinement, apart from including air resistance, that would make the
model more realistic.
(1)
In reality the stone will not move freely under gravity and will be subject to air resistance.
(d) Explain how this would affect your answer to part (a).
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P68658A0216*
, S
IC
AT
EM
TH
MA
Question 1 continued
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
*P68658A0316*
3
Turn over
