On velocity-time graph, the point at which two curves coincide will indicate that both the objects have same velocity at that instant.

**Explanation:**

When two curves coincide on a velocity-time graph, it means that the two objects have the same velocity at that particular time. This can be understood by analyzing the characteristics of a velocity-time graph and the relationship between velocity and acceleration.

**Velocity-Time Graph:**
A velocity-time graph represents the change in velocity of an object over time. The slope of the graph represents the object's acceleration, while the area under the graph represents the object's displacement.

**Coinciding Curves:**
When two curves on a velocity-time graph coincide, it means that the two objects have the same velocity at that particular time. This can be observed by the overlapping of the two curves on the graph.

**Same Velocity:**
When two objects have the same velocity, it means that they are moving at the same speed in the same direction. In other words, their rates of change of displacement with respect to time are equal.

**Acceleration and Velocity:**
Acceleration is the rate of change of velocity with respect to time. If two objects have the same velocity, it means that their rates of change of velocity are equal.

**Same Acceleration:**
When two objects have the same velocity and their rates of change of velocity are equal, it implies that their accelerations are also equal. This is because acceleration is determined by the change in velocity, and if the velocities are the same, the change in velocity will also be the same.

**Conclusion:**
Therefore, when two curves coincide on a velocity-time graph, it indicates that the objects have the same velocity at that particular time. The statement in option 'B' is correct, as the objects will have the same velocity but not necessarily the same acceleration.