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May 2025 Edexcel: AS Level Further Mathematics 8FM0/26 (Option J) Further Mechanics 2 – Merged Question Paper & Mark Scheme

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May 2025 Edexcel: AS Level Further Mathematics 8FM0/26 (Option J) Further Mechanics 2 – Merged Question Paper & Mark Scheme 1. D C E 4a 3a A M B 3a Figure 1 A uniform plane lamina, shown shaded in Figure 1, is formed by removing an isosceles triangle ABE from a rectangle ABCD. • The midpoint of AB is M • AB = 3a • AD = 4a • EM = 3a • AE = EB (a) Show that the distance of the centre of mass of the lamina from AB is 13a 5 (5) The lamina is suspended by a string attached to the lamina at D. The lamina hangs freely in equilibrium. (b) Find, to the nearest degree, the angle between AD and the vertical. 2 (3) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 1 continued ■ ■ ■ ■ 3 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 1 continued 4 ■ ■ ■ ■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 1 continued ■■■■ (Total for Question 1 is 8 marks) 5 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2. A particle P moves on the x-axis. At time t seconds the velocity of P is v m s–1 in the positive x-direction, where v  3  2t  1 t ≥ 0 (a) Find the value of t when P is at instantaneous rest. The acceleration of P at time t seconds is a m s −2 in the positive x-direction. 1 (2) (b) Show that a  v  3 (3) 4 (c) Find the speed of P when it is decelerating at 3 m s −2 15 (2) (d) Find the total distance travelled by P between t = 0 and t = 2 [Solutions relying on calculator technology ar

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May 2025 Edexcel: AS Level Further Mathematics
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May 2025 Edexcel: AS Level Further Mathematics










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Institution
May 2025 Edexcel: AS Level Further Mathematics
Course
May 2025 Edexcel: AS Level Further Mathematics

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Uploaded on
September 25, 2025
Number of pages
29
Written in
2025/2026
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May 2025 Edexcel: AS Level Further
Mathematics 8FM0/26 (Option J)
Further Mechanics 2 – Merged
Question Paper & Mark Scheme




Afternoon Paper

Further Mathematics 🟐 🟐

Advanced Subsidiary
Further Mathematics options
26: Further Mechanics 2
(Part of option 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
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes
andatcandidate
the top ofnumber.
this page with your name,

centre number
Answer all questions and ensure that your answers to parts of questions are clearly labelled
• Answer
–You
there the questions
may
should be more
show
in thethan
space
sufficient
spaces
youprovided
working need.
to make your methods clear.
••

Answers without working may not gain full credit.
2
Unless 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
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
The total mark for this part of the examination is 40. There are 4 questions.
• –The
usemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
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


P74074A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/

,1.

D C




DO NOT WRITE IN THIS AREA
E

4a
3a


A M B

3a

Figure 1
A uniform plane lamina, shown shaded in Figure 1, is formed by removing an isosceles
triangle ABE from a rectangle ABCD.

• The midpoint of AB is M




DO NOT WRITE IN THIS AREA
• AB = 3a

• AD = 4a

• EM = 3a

• AE = EB
(a) 13a
Show that the distance of the centre of mass of the lamina from AB is
5 (5)
The lamina is suspended by a string attached to the lamina at D.

The lamina hangs freely in equilibrium.
(b) Find, to the nearest degree, the angle between AD and the vertical.
(3)

DO NOT WRITE IN THIS AREA




2

■■■■

,
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




■■■■
Question 1 continued




3
Turn over

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