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vec(r)=2that(i)+3tvec(2)hat(j). Find vec...

`vec(r)=2that(i)+3tvec(2)hat(j)`. Find `vec(v)` and `vec(a)` where `vec(v)=(dvec(r))/(dr) , vec(a)=(dvec(v))/(dt)`

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To solve the problem, we need to find the velocity vector \(\vec{v}\) and the acceleration vector \(\vec{a}\) from the given position vector \(\vec{r}\). ### Step 1: Write down the position vector The position vector is given as: \[ \vec{r} = 2t \hat{i} + 3t^2 \hat{j} \] ...
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