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Variable Acceleration

Variable Acceleration

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Question 27
23%

A particle P P\,P travels along a straight line such that at time t t\,t seconds, t≥0t \geq 0t≥0, after leaving the point O O\,O on the line, the velocity of PPP, v v\,v ms−1^{-1}−1, is modelled as

v=3t+5−2t2 v = 3t + 5 - 2t^2 v=3t+5−2t2
a.

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

[4]
b.

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

[5]
Markscheme

Variable Acceleration Questions

  1. A Level
  2. /Maths
  3. /Variable Acceleration

28 exam-style questions on Edexcel A Level Maths Variable Acceleration, covering 11.1 Functions of Time, 11.2 Using Differentiation, 11.3 Maxima and Minima Problems, 11.4 Using Integration, and 11.5 Constant Acceleration Formulae. Each one has a worked solution and a mark scheme showing where the marks go.

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