Question: A particle is at the origin at time t = 0. Its speed at time t is given by s(t) = 3t2. The particle's direction

A particle is at the origin at time t = 0. Its speed at time t is given by s(t) = 3t2. The particle's direction of motion at time t is given by the unit vector v = (cos(t3),sin(t3),0). Determine the particle's position at time t.

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