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Variable Acceleration

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Question 73

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={6t−t20≤t≤6216t2t>6 a = \begin{cases} 6t - t^2 & 0 \leq t \leq 6 \\ \frac{216}{t^2} & t > 6 \end{cases} a={6t−t2t2216​​0≤t≤6t>6​

At t=0t = 0t=0, P P\,P is at rest.

a.

Find the speed of P P\,P when t=6t = 6t=6.

[3]
b.

Find the speed of P P\,P when t=12t = 12t=12.

[5]
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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