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3.2 Q: Kinematics

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Question 35

A particle P P\,P moves in a straight line so that, at time t t\,t seconds, its acceleration a a\,a m s−2^{-2}−2 is given by a=4t−t2a = 4t - t^2a=4t−t2 for 0≤t≤30 \leq t \leq 30≤t≤3 a=27t2a = \dfrac{27}{t^2}a=t227​ for t>3 t > 3\,t>3

At t=0t = 0t=0, P P\,P is at rest.

a.

Find the speed of P P\,P when t=3t = 3t=3.

[3]
b.

Find the speed of P P\,P when t=6t = 6t=6.

[4]
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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