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Please check the examination details below before entering your candidate information
Candidate surname

Centre Number

Other names

Candidate Number

Pearson Edexcel Level 3 GCE

Thursday 23 May 2024
Paper
reference

Afternoon

Mathematics

8MA0/22
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Advanced Subsidiary
PAPER 22: Mechanics
You must have:
Mathematical Formulae and Statistical Tables (Green), calculator

Total Marks

Candidates may use any calculator allowed by Pearson regulations
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Instructions

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Use black ink or ball-point pen
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Fill in the boxes at the top of this page with your name,
centre number and candidate number
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Answer the questions in the spaces provided
– there may be more space than you need
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Answers without
working may not gain full credit
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8 m s–2 and give
your answer to either 2 significant figures or 3 significant figures
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The total mark for this part of the examination is 30
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The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question
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F:1/1/1/1/1/1/1/

Read each question carefully before you start to answer it
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Check your answers if you have time at the end
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At time t = 0, the car is at rest at the point A
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The total journey time is 30 seconds
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(b) Sketch a distance-time graph for the journey of the car from A to B
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Question 1 continued
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(Total for Question 1 is 6 marks)

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3

Turn over

In this question you must show all stages of your working
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At time t seconds, t > 0 , the velocity of the particle is v m s −1 , where
v  2t  7 t  6



(a) Find the acceleration of the particle when t = 4

(3)

When t = 1 the particle is at the point X
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Given that the particle does not come to instantaneous rest in the interval 1 < t < 2
1
(b) show that XY  41  28 2 metres
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2
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Given that
• the mass of P is 2 kg
• the two forces are  2i  4 j N and  ci  2 j N , where c is a constant
• the magnitude of the acceleration of P is



5 m s −2

find the two possible values of c
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[In this question, i and j are perpendicular unit vectors in a horizontal plane
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The mass of the car is 800 kg and the mass of the trailer is 600 kg
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The towbar is modelled as a light rod
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The resistance to the motion of the trailer is modelled as a constant force of magnitude
R newtons
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The acceleration of the car is 0
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Using the model,



(a) show that R = 500



(b) find the value of T
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5 m s −1 , the towbar breaks
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The resistance to the motion of the trailer is modelled as a constant force of magnitude
500 N
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In reality, the distance d metres is likely to be different from the answer found in part (d)
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8

(3)
(3)

5
m s −2
6

(1)
(3)

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(2)

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