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Learn/ A Level Mathematics/ Past Papers/ 2024/ May/June 2024 /Paper 4 (Variant 2)

Mechanics — Variant 2

A Level Mathematics · 9709/42 · May/June 2024

Question Paper

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Mark Scheme

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Questions

1 of 7 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.

2
A particle PP moves in a straight line. At time tt s after leaving a point OO on the line, PP has velocity v m s−1v \text{ m s}^{-1}, where v=44t−6t2−36v = 44t - 6t^{2} - 36.
2(a) [2]
Find the set of values of tt for which the acceleration of the particle is positive.
2(b) [3]
Find the two values of tt at which PP returns to OO.

Published by Cambridge Assessment International Education. Reproduced for study use.