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Question
two students walk toward each other at constant velocity as shown in the position v. time graph below. according to the information and graph, what does the intersection of the two graphs represent? the students have equivalent displacements. the students have equivalent velocities. the students have reversed direction and are heading back toward the origin. none of these
In a position - time graph, the intersection of two graphs means that at that particular time, the two objects (in this case, students) are at the same position. Displacement is the change in position from the starting point. Just because they are at the same position does not mean their displacements are equal (since their starting points and directions may be different). The slope of a position - time graph gives velocity, and the intersection does not imply equal velocities. Also, there is no indication from the intersection that they have reversed direction.
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