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Mathematics
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a line going up means the he is moving away from the reference point. and a line coming down means the person is returning to reference point. So for (a) cyclist A in first graph is moving away from home (reference point) and in graph to returning to home. For the cyclist B the graph is same.
I understand
and the slope represent the speed. This will answer (c). and at intersection both the value x for both cyclist is same, so , they are at same position that means intersection point represent a crossing. This answers (d) and by the same logic you get (e) also.
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