5. \begin{figure}[h] \end{figure} The speed-time graph in Figure 2 illustrates the motion of a car travelling along a straight horizontal road.
At time \(t = 0\), the car starts from rest and accelerates uniformly for 30 s until it reaches a speed of \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
The car then travels at a constant speed of \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) until time \(t = T\) seconds.

1. Show that the distance travelled by the car between \(t = 0\) and \(t = T\) seconds is \(V ( T - 15 )\) metres. A motorbike also travels along the same road.
   • The motorbike starts from rest at time \(\boldsymbol { t } = \mathbf { 1 0 } \mathbf { s }\) and accelerates uniformly for 40 s
   • The acceleration of the motorbike is the same as the acceleration of the car
   • The motorbike then travels at a constant speed for a further 10 s before decelerating uniformly until it reaches a speed of \(V \mathrm {~ms} ^ { - 1 }\) at time \(T\) seconds
   • On Figure 2, sketch a speed-time graph for the motion of the motorbike.
     [0pt] [If you need to redraw your sketch, there is a copy of Figure 2 on page 15.]
   • Show that the constant speed of the motorbike is \(\frac { 4 V } { 3 } \mathrm {~ms} ^ { - 1 }\)
   At time \(t = T\) seconds, the distance travelled by each vehicle is the same.
2. Find the value of \(T\) \begin{figure}[h]
   \includegraphics[alt={},max width=\textwidth]{f2737a11-4a15-41e9-9f87-31a705a8948b-15_643_1266_1882_402} \captionsetup{labelformat=empty} \caption{Figure 2}
   \end{figure}