Solution 6.3a
From Mechanics
The area under the velocity-time graph gives the distance travelled.
This area can be calculated by breaking up the area into three parts, two triangles and a rectangle
This method gives (we ignore units in the calculation)
\displaystyle \frac{1}{2}\left( 3\times 2 \right)+\left( \left[ 7-3 \right]\times 2 \right)+\frac{1}{2}\left( \left[ 9-7 \right]\times 2 \right)=13\text{ m}