Physics

The correct statement is: At , the displacement of car D is greater than that of car C.

In a velocity - time graph, the displacement of an object is given by the area under the velocity - time curve. From t = 0 to , the area under curve D is greater than the area under curve C. So, the displacement of car D is greater than that of car C at .

Analyze other statements:

Option A: Car A moves in a straight line, while car B moves along a curved path.

The shape of the curve in the x-t graph does not imply that the object is moving along a curved path in space. It just shows how the position of the object changes with time. So, this statement is incorrect.

Option B: At , the velocities of car A and car B are the same.

In a position-time graph, the slope of the graph at a given point represents the velocity of the object at that time. At , the slopes of curves A and B are different. The slope of curve A is steeper than the slope of curve B at . So, the velocities of car A and car B are not the same at . This statement is incorrect.

Option D: From to , the average velocities of cars C and D are equal.

The average velocity is given by

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