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3.2 Q: Kinematics

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Question 107

A particle P P\,P moves in a straight line through a fixed point OOO.

At time t t\,t seconds, t≥0t \geq 0t≥0, the acceleration of P P\,P is (3t+5)(3t + 5)(3t+5) m s−2^{-2}−2 measured in the positive direction.

When t=0t = 0t=0 the velocity of P P\,P is 2 m s−1^{-1}−1 in the positive direction.

When t=Tt = Tt=T the velocity of P P\,P is 6 m s−1^{-1}−1 in the positive direction.

a.

Find an expression for the velocity of P P\,P at time ttt.

[3]
b.

Hence find the value of TTT.

[3]
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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