A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors V(t), A(t), T(t), and N(t) and the following scalars for an arbitrary value of t: ||V(t)||, Ar(t), An(t), and K(t).

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A: Topic:- application of vector algebra and trigonometry

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A: Please see the below picture for detailed solution.

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A: Topic:- application of integration

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A: Topic:- application of integration

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A: Topic:- application of algebra