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Two trains on the same line are approach...

Two trains on the same line are approaching one another with velocities `u_(1)` and `u_(2)` respectively. When there is a distance x between them, each is seen from the other. It is just possible to avoid a collision if
`u_(1)^(2)f_(2)+u_(2)^(2)f_(1)= 2f_(1)f_(2)x`
where `f_(1)` and `f_(2)` are the greatest retardations which brakes can produce in the respective trains.

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