- A train is travelling between two stations that are 4.8 km apart on a straight horizontal track.
It accelerates uniformly from rest to a speed of \(40 \mathrm {~ms} ^ { - 1 }\) covering a distance of 400 m .
It then travels at \(40 \mathrm {~ms} ^ { - 1 }\) for \(T\) seconds and decelerates uniformly at \(0.8 \mathrm {~ms} ^ { - 2 }\) for the final part of the journey until it arrives at the next station.
This is represented in the velocity-time graph below.
\includegraphics[max width=\textwidth, alt={}, center]{6c69f370-0d2d-41ec-8761-0707a6ada43d-02_595_1394_497_210}
i. Work out the acceleration during the first 400 m of the journey.
ii. Find the value of \(T\).
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