Do objects A and B in Fig. 4.27 ever have equal velocity? Justify your answer.

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.