Solution 8.5a
From Mechanics
We assume the origin is att the point of tacke off which means \displaystyle \ \ \mathbf{ r}_{0}=0.
Also we have \displaystyle \mathbf{a}=\mathbf{i}+4\mathbf{j},\ \ \displaystyle \mathbf{u}=80\mathbf{i}\ \.
Using \displaystyle \mathbf{v}=\mathbf{u}+\mathbf{a}t\ \ gives at time \displaystyle t,
\displaystyle \mathbf{v}=80\mathbf{i}+(\mathbf{i}+4\mathbf{j})t\ \ or
\displaystyle \mathbf{v}=(80+t\ )\mathbf{i}+4t\ \mathbf{j}