Solution 8.6b
From Mechanics
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