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

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Question 115
24%

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={4t−t20≤t≤327t2t>3 a = \begin{cases} 4t - t^2 & 0 \leq t \leq 3 \\ \frac{27}{t^2} & t > 3 \end{cases} a={4t−t2t227​​0≤t≤3t>3​

At t=0t = 0t=0, P P\,P is at rest. Find the speed of P P\,P when

a.

t=3t = 3t=3

[3]
b.

t=6t = 6t=6

[5]
Markscheme

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

  1. A Level
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