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Q4 (a) The position vector of a particle at any time t 2 0 is given by = cos 2ti - 4 sin 2t j

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Q4 (a) The position vector of a particle at any time t 2 0 is given by = cos 2ti - 4 sin 2t j + at k. Find the value of a when at time t = , the acceleration is normal to the position vector. [8 Marks]

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