4. A train \(T\), moves from rest at Station \(A\) with constant acceleration \(2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) until it reaches a speed of \(36 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). In maintains this constant speed for 90 s before the brakes are applied, which produce constant retardation \(3 \mathrm {~ms} ^ { - 2 }\). The train \(T _ { 1 }\) comes to rest at station \(B\).

1. Sketch a speed-time graph to illustrate the journey of \(T _ { 1 }\) from \(A\) to \(B\).
2. Show that the distance between \(A\) and \(B\) is 3780 m .
   \includegraphics[max width=\textwidth, alt={}, center]{e590030f-0c46-42ab-80b8-3627d3c36908-4_538_734_689_635} A second train \(T _ { 2 }\) takes 150 s to move form rest at \(A\) to rest at \(B\). Figure 3 shows the speed-time graph illustrating this journey.
3. Explain briefly one way in which \(T _ { 1 }\) 's journey differs from \(T _ { 2 }\) 's journey.
4. Find the greatest speed, in \(\mathrm { m } \mathrm { s } ^ { - 1 }\), attained by \(T _ { 2 }\) during its journey.