2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{017cc2b0-9ec3-45ff-94c0-9d989badfd5d-04_677_1620_294_169}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Two fixed points, \(A\) and \(B\), are on a straight horizontal road.
The acceleration-time graph in Figure 2 represents the motion of a car travelling along the road as it moves from \(A\) to \(B\).
At time \(t = 0\), the car passes through \(A\) with speed \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
At time \(t = 20 \mathrm {~s}\), the car passes through \(B\) with speed \(v \mathrm {~ms} ^ { - 1 }\)
- Show that \(v = 18\)
- Sketch a speed-time graph for the motion of the car from \(A\) to \(B\).
- Find the distance \(A B\).