LIf the acceleration of a particle moving along a horizontal axis at timet seconds is given by the function a (t) = 5 + 2t -3e, the particle's velocity at time t = 0 is 1 meter per second, and the particle's position at time t = 0 is at 2 meters, find the function s(t) that models the position of the particle at any time t. Show your process and all of your work.

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