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Year 12 Specialist (Unit 3 & 4) Vector calculus

Differentiating and integrating vector functions

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Questions
Question 1
196219
A particle has position vector \(\mathbf{r}(t)=(t^2+1)\mathbf{i}+4t\mathbf{j}\) (in metres, \(t\) in seconds). Find its velocity \(\mathbf{v}(t)=\dfrac{d\mathbf{r}}{dt}\).
\(2t\mathbf{i}+4\mathbf{j}\)

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