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3.2 Q: Kinematics

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Question 88

A particle P P\,P travels along a straight line through a point OOO.

At time t t\,t seconds after passing through OOO, the displacement of P P\,P from O O\,O is r r\,r metres, where r=2t3−18t2+48tr = 2t^3 - 18t^2 + 48tr=2t3−18t2+48t

a.

Find the times at which P P\,P is instantaneously at rest.

[3]
b.

Find the displacement of P P\,P from O O\,O at the later of these two times.

[2]
Markscheme

3.2 Q: Kinematics Questions

  1. A Level
  2. /Maths
  3. /3.2 Q: Kinematics

265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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