A particle is located at the origin when t = 1 and moves along the x-axis with velocity v(t) = 2t12. Calculate the position function s(t). (Express numbers in exact form. Use symbolic notation and fractions where needed.) s(t) = Identify the correct statements about the position of the particle. It will never pass the point x = 2. The particle will travel indefinitely between two finite points. It must pass the point x = 20. The particle will continue to travel further away from the origin indefinitely.

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