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**Viral** A train starts from rest and moves with uniform acceleration for 5 minutes. It then maintains a constant speed for 20 minutes before being brought to rest by a uniform retardation of magnitude twice that of the acceleration. Sketch a speed time graph of the motion and find the time it takes the train to stop. If the train travels 4.5 km while accelerating, show that the acceleration is $\displaystyle \frac{1}{10}ms^{-2}$ and find the total distance travelled.

**Not sure how to work out how long it takes for the train to stop.**