Fig. 4.27 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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No. Both graphs are straight lines, so each object moves with a constant velocity equal to the slope of its line. The two slopes are different (the lines are not parallel), so the velocities are never equal. The point where the lines cross only means the two objects are at the same position at that instant, not that they have the same velocity.

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