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Variable Acceleration

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Question 154

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={5t−t20≤t≤48−tt>4 v = \begin{cases} 5t - t^2 & 0 \leq t \leq 4 \\ 8 - t & t > 4 \end{cases} v={5t−t28−t​0≤t≤4t>4​
a.

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

[3]
b.

Find the total distance traveled by P P\,P in the first 10 seconds.

[7]
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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