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Variable Acceleration

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Question 167

A particle P P\,P moves in a straight line so that, at time t t\,t seconds, its velocity v m s−1v \text{ m s}^{-1}v m s−1 is given by

v={2t2−13t30≤t≤318−27tt>3 v = \begin{cases} 2t^2 - \frac{1}{3}t^3 & 0 \le t \le 3 \\ 18 - \frac{27}{t} & t > 3 \end{cases} v={2t2−31​t318−t27​​0≤t≤3t>3​

At t=0t = 0t=0, P P\,P is at rest.

a.

Find the acceleration of P P\,P when t=3t = 3t=3.

[3]
b.

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

[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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