Rates Of Change (Time)
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The displacement of a particle is given by \(x = {t^3} - 2{t^2} + t + 5\), where \(t\) is the time in seconds and \(x\) is measured in meters.
(i) Find the initial displacement of the particle.
(ii) Find the velocity of the particle after 2 seconds.
(iii) Find when the particle returns to its starting point.
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