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Variable Acceleration

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Question 26

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={7t−t20≤t≤520−2tt>5 v = \begin{cases} 7t - t^2 & 0 \leq t \leq 5 \\ 20 - 2t & t > 5 \end{cases} v={7t−t220−2t​0≤t≤5t>5​
a.

The acceleration of P P\,P is -1 m s-2.

Find the value of ttt, where 0≤t≤50 \leq t \leq 50≤t≤5

[3]
b.

The total distance traveled by P P\,P in the first T T\,T seconds is 4016\displaystyle \frac{401}{6}6401​ m.

Find the value of TTT.

[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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