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An express train is running behind a goods train on the same line and in the same direction, their velocities being u1 and u2 (u1 > u2) respectively. When there is a distance x between them, each is seen from the other. At which point it is just possible to avoid a collision f1 is the greatest retardation and f2 is the greatest acceleration which can be produced in the two trains respectively?

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An express train is running behind a goods train on the same line and in the same direction, their velocities being u<sub>1</sub> and u<sub>2</sub> (u<sub>1</sub> > u<sub>2</sub>) respectively. When there is a distance x between them, each is seen from the other. At which point it is just possible to avoid a collision f<sub>1</sub> is the greatest retardation and f<sub>2</sub> is the greatest acceleration which can be produced in the two trains respectively?






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