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Learn/ A Level Mathematics/ Past Papers/ 2022/ Oct/Nov 2022 /Paper 4 (Variant 1)

Mechanics — Variant 1

A Level Mathematics · 9709/41 · Oct/Nov 2022

Question Paper

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Mark Scheme

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Questions

1 of 6 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.

5
A particle PP moves on the xx-axis from the origin OO with an initial velocity of −20-20 m s−1\text{m s}^{-1}. The acceleration aa m s−2\text{m s}^{-2} at time tt s after leaving OO is given by a=12−2ta = 12 - 2t.
5(a) [5]
Sketch a velocity-time graph for 0⩽t⩽120 \leqslant t \leqslant 12, indicating the times when PP is at rest.
5(b) [5]
Find the total distance travelled by PP in the interval 0⩽t⩽120 \leqslant t \leqslant 12.

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