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Year 12 Methods (Unit 3 & 4) Further differentiation and applications

Motion in a straight line

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Questions
Question 1
23179

A particle is moving in such a way that its displacement \(x\)cm from the origin after \(t\) seconds is given by \(x=t^3-4t^2+4t+3\). Find the times when the particle is stationary. 

\(t = \dfrac{2}{3}\) and \(t = 2\) seconds

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