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Variable Acceleration

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Question 3
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A particle P P\,P moves in a straight line so that, at time t t\,t seconds, its acceleration a m s−2a \text{ m s}^{-2}a m s−2 is given by

a={4t−t20≤t≤327t2t>3 a = \begin{cases} 4t - t^2 & 0 \leq t \leq 3 \\ \frac{27}{t^2} & t > 3 \end{cases} a={4t−t2t227​​0≤t≤3t>3​

At t=0t = 0t=0, P P\,P is at rest. Find the speed of P P\,P when

a.

t=3t = 3t=3

[3]
b.

t=6t = 6t=6

[5]

Variable Acceleration Questions

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

Practise Edexcel AS Level Maths Variable Acceleration with exam-style questions for AS Level Maths. 16 questions covering Functions of Time, Using Differentiation, Maxima and Minima Problems, Using Integration, and Constant Acceleration Formulae, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank