This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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You're on a roll — No, objects A and B in Fig. 4.27 do not ever have equal velocity.
Justification: In a position-time graph, the velocity of an object is represented by the gradient (slope) of its curve. • Object A's graph is a straight line with a constant positive slope. This indicates that object A is moving with a constant positive velocity. • Object B's graph is also a straight line with a constant positive slope. This indicates that object B is also moving with a constant positive velocity. However, the slope of line A is visibly steeper than the slope of line B. Since the slopes are constant but different, their velocities are constant but unequal throughout the motion shown in the graph. The point where the lines intersect indicates that they are at the same position at that specific time, but their velocities (slopes) are still different.
The objects A and B do not ever have equal velocity.
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You're on a roll — No, objects A and B in Fig. 4.27 do not ever have equal velocity.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.