Solution 8.6b

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Here we use

\displaystyle \mathbf{r}=\mathbf{u}t+\frac{1}{2}\mathbf{a}{{t}^{\ 2}}+{{\mathbf{r}}_{0}}

According to the text

\displaystyle \mathbf{u}=\mathbf{i}+2\mathbf{j}


We assume the starting point is the origin so that \displaystyle {{\mathbf{r}}_{0}}=0.

At \displaystyle t=10+40=50 we obtain



The distance is the magnitude of this vector