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Calculate displacement and the constant of integration.

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The velocity of a particle moving in a straight line is given by v=3t^2 + 2t,
Find an expression for the displacement at time, t.
If the initial displacement is 1m, find an expression for the constant of integration.
Hence determine the displacement after a time period of 2s has elapsed.

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This job calculates the constant of integration. The displacement for the constant integration is given.

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Initial answer is;

t^3 + t^2 + ...

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