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17. Consider a particle moving in a helical path C' given by r(t) = (cost, sint, t) under the influence of a force F =

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17. Consider a particle moving in a helical path C' given by r(t) = (cost, sint, t) under the influence of a force F = (x, z, -ry) (a) What is the length of the path travelled over the time t e (0, 6x)? [2 marks] (b) Hence, compute the instantaneous speed of the particle at time t. [2 marks] (c) Determine the total work done W = [ Fdr by the particle during that same time t e (0, 67) [3 marks]

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