StudentAid
HomeLearn
9th Class10th Class11th Class12th ClassCambridge past papersBrowse everything
Attendance
Class attendanceVisitor register
For schoolsFor driversFor parentsBook a demo
Learn/ A Level Mathematics/ Past Papers/ 2021/ May/June 2021 /Paper 4 (Variant 3)

Mechanics — Variant 3

A Level Mathematics · 9709/43 · May/June 2021

Question Paper

PDF · 110 KB · 12 pages

Mark Scheme

PDF · 338 KB · 12 pages

This browser cannot show the PDF inline.

Open the question paper · Open the mark scheme

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.

6
A particle moves in a straight line and passes through the point AA at time t=0t = 0. The velocity of the particle at time tt s after leaving AA is vv m s−1\text{m s}^{-1}, where\n\nv=2t2−5t+3v = 2t^{2} - 5t + 3.
6(a) [4]
Find the times at which the particle is instantaneously at rest. Hence or otherwise find the minimum velocity of the particle.
6(b) [3]
Sketch the velocity-time graph for the first 33 seconds of motion.
6(c) [3]
Find the distance travelled between the two times when the particle is instantaneously at rest.

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