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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 166
30%

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≤510−2tt>5 v = \begin{cases} 7t - t^2 & 0 \leq t \leq 5 \\ 10 - 2t & t > 5 \end{cases} v={7t−t210−2t​0≤t≤5t>5​
a.

Find the acceleration of P P\,P when t=4t = 4t=4

[3]
b.

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

[7]
Markscheme

4 Unit A2 2: Applied Mathematics (A-level only) Questions

  1. A Level
  2. /Maths
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