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4. A particle moves along a coordinate axis in such a way that its acceleration is modeled by the function a(t) =2t for t >

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4. A particle moves along a coordinate axis in such a way that its acceleration is modeled by the function a(t) =2t for t > 0. If the particle is at $ =4 when / = 1 and has velocity v= -6 at this same time, find the function that models s((). (20 pts)

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