| Exam Board | AQA |
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| Module | M2 (Mechanics 2) |
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| Year | 2009 |
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| Session | January |
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| Topic | Non-constant acceleration |
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1 A particle moves along a straight line. At time \(t\), it has velocity \(v\), where
$$v = 4 t ^ { 3 } - 8 \sin 2 t + 5$$
When \(t = 0\), the particle is at the origin.
Find an expression for the displacement of the particle from the origin at time \(t\).