?The position vector for a particle is \(\mathbf{r}(t)=t \mathbf{i}+t^{2}

Chapter 3, Problem 82

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The position vector for a particle is \(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+t^{3} \mathbf{k}\). The graph is shown here:

                                               

Find the acceleration at time t = 2 sec.

Text Transcription:

r(t) = t i + t^2 j + t^3 k

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