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in this problem were given the velocity graphs of two trains as they move toward each other and if they start 200 meters apart were looking to find their final separation distance when the trains stop moving as we can see here from the graph we can see where the velocities of each terrain docHub a zero indicating where they have stopped now in order to find the terrains final separation well first want to figure out how far each train actually managed to travel as they were decelerating in other words we want to find the displacement of each individual train now understanding what we know about displacement and velocity and how they relate with each other we know that the displacement of a particle or object as its traveling is the same thing as the integral of this velocity now since we have a graph of the velocity here we can find the integral of each displacement we can find the integral of the displacement of each strain as the area underneath both curves ill represent that w
