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3.2 Q: Kinematics

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Question 57

A particle P P\,P travels along a straight line. At time t t\,t seconds, t≥0t \geq 0t≥0, after leaving a point O O\,O on the line, the velocity of P P\,P is modelled as v=(3t+5−2t2)v = (3t + 5 - 2t^2)v=(3t+5−2t2) m s−1^{-1}−1

a.

Find the value of t t\,t at the instant when P P\,P stops accelerating.

[3]
b.

Find the distance of P P\,P from O O\,O at the instant when P P\,P changes its direction of motion.

[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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