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Variable Acceleration

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Question 132

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=12t2(t2−2t+1) x = \frac{1}{2}t^2(t^2 - 2t + 1) x=21​t2(t2−2t+1)
a.

Verify that P P\,P is instantaneously at rest at the times t=0t=0t=0, t=12\displaystyle t=\frac{1}{2}t=21​ and t=1t=1t=1.

[5]
b.

Find the total distance travelled by P P\,P in the interval 0≤t≤20 \leq t \leq 20≤t≤2

[3]
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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