Integrating With Respect to Time
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A particle moves on a straight line, with acceleration \(\ddot x \,cms^{-2}\) after \(t\) seconds given by \(\ddot x=\sin t-2 \sin 2t\).
Initially the particle is at rest at the origin. Find
i) \(x\) as a function of \(t\)
ii) The velocity at \(t=\dfrac{\pi}{2}\) seconds
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