Given that r(t) 1 2t 2 i 1 3t 3 j 1 2t 2 k is the position vector of a moving particle
Chapter 9, Problem 24(choose chapter or problem)
Given that \(\mathbf{r}(t)=\frac{1}{2} t^{2} \mathbf{i}+\frac{1}{3} t^{3} \mathbf{j}-\frac{1}{2} t^{2} \mathbf{k}\) is the position vector of a moving particle, find the tangential and normal components of the acceleration at any t. Find the curvature.
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