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Question
Fig. shows a position-time graph of two objects A and B that are moving along the parallel tracks in the same direction. Do objects A and B ever have equal velocity? Justify your answer.
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Solution
No, the velocities of objects A and B are never equal.
Justification: The slope of an object’s position-time graph indicates its velocity. Since both A and B are shown as straight lines, their respective velocities are constant.
The slopes of the two straight lines, however, differ. Compared to the line for B, the line for A is steeper. As a result, A’s velocity is higher than B’s. As a result, A’s and B’s velocities are always different.
The crossing of the two lines does not mean that A and B have the same velocity; rather, it just shows the moment when they are in the same location. As a result, the velocity of A and B is never equal.
