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Variable Acceleration

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Question 84

A particle P P\,P travels along a straight line through a point O O\,O so that at time t t\,t s after passing through O O\,O its displacement from O O\,O is x x\,x m, where

x=112t2(9t2−16t+6) x = \frac{1}{12}t^2(9t^2 - 16t + 6) x=121​t2(9t2−16t+6)

Find the times when P P\,P is instantaneously at rest and hence find the total distance travelled by P P\,P in the interval 0≤t≤20 \leq t \leq 20≤t≤2.

[8]
Markscheme

Variable Acceleration Questions

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

308 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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