Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4C Further Mechanics 2 QP & MS June 2024

Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4C
Further Mechanics 2 QP & MS June 2024

, Centre Number Candidate Number




Further Mathematics
■ ■

Marks
Advanced
PAPER 4C: Further Mechanics 2

.

•. Turn over


P75691A
©2024 Pearson Education Ltd.
F:1/1/

,1. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.




DO NOT WRITE IN THIS AREA
A particle P moves along a straight line.
Initially P is at rest at the point O on the line.

At time t seconds, where t 0
• the displacement of P from O is x metres

• the velocity of P is v m s–1 in the positive x direction
96
• the acceleration of P is ms−2 in the positive x direction
(3t + 5)
3


q
(a) Show that, at time t seconds, v = p − , where p and q are constants to
(3t + 5)
2


be determined.
(4)
(b) Find the limiting value of v as t increases.




DO NOT WRITE IN THIS AREA
(1)

(c) Find the value of x when t = 2
(4)




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