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Consider a particle moving through space with velocity v(t) = cos(t)i−sin(t)j + tk. (i) (3 marks)...

Consider a particle moving through space with velocity v(t) = cos(t)i−sin(t)j + tk.

(i) Determine its acceleration vector.

(ii) Determine the position vector, supposing the particle starts at position (3,−2,3) at time t = 0.

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