Two trains move along a track with their respective velocities \(+40\) m/s and \(-30\) m/s. Suddenly, the conductors notice that they are headed toward each other. The above graph gives each train's velocity \(v\) as a function of time \(t,\) as the conductors slow down their trains. The slowing processes begin when the two trains are \(200\) m apart. What is the distance (in m) between the two trains when both trains have stopped?

The graph's vertical scaling is set by \(v_{s}= 40.0\) m/s.

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