The given figure 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.
No, objects A and B cannot have equal velocity at any time.
In a position-time graph, the slope of the graph represents the velocity of the object. Greater the slope, greater is the velocity.
In the given graph, the line representing object A is steeper than the line representing object B. This means object A covers more displacement in the same interval of time. Therefore, the velocity of object A is greater than the velocity of object B.
Although the two graphs meet at one point, it only shows that the two objects have the same position at that instant. Since their slopes are different, their velocities are not equal.
