Solution 8.8a
From Mechanics
Here we use the equation \displaystyle \mathbf{v}=\mathbf{u}+\mathbf{a}t with
\displaystyle \mathbf{u}= and \displaystyle \mathbf{v}=24\mathbf{i}+46\mathbf{j\text{ m}{{\text{s}}^{\text{-1}}}}.
Also \displaystyle t=20\text{ s} whichh gives,
\displaystyle 24\mathbf{i}+46\mathbf{j}=4\mathbf{i}+6\mathbf{j}+\mathbf{a} \times 20
So,
\displaystyle 20\mathbf{a}=20\mathbf{i}+40\mathbf{j} giving,
\displaystyle \mathbf{a}=\mathbf{i}+2\mathbf{j} \text{ m}{{\text{s}}^{\text{-2}}}