Question Video: Comparing the Times of Travel of Two Objects | Nagwa Question Video: Comparing the Times of Travel of Two Objects | Nagwa

# Question Video: Comparing the Times of Travel of Two Objects Science • Third Year of Preparatory School

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Consider the graph. The motion of object A is represented by the solid line. The motion of object B is represented by the dashed line. Which of the following statements correctly compares the time traveled by the objects? [A] Object B travels the greater time. [B] Object A travels the greater time. [C] Object A and object B travel an equal amount of time.

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### Video Transcript

Consider the following graph. The motion of object A is represented by the solid line. The motion of object B is represented by the dashed line. Which of the following statements correctly compares the time traveled by the objects? Is it (A) object B travels the greater time? (B) Object A travels the greater time. Or is it (C) object A and object B travel an equal amount of time?

Recall that for a distance–time graph, the horizontal axis represents the time for which an object travels. The vertical axis represents the distance that the object travels. Then, a line on a distance–time graph shows how the distance traveled by an object changes with the time that the object travels for. This question asks us to compare the motion of two objects that are represented by two different lines, a solid blue line and a red dashed line.

Since time is represented by the horizontal axis, if we take this into account, we should consider that a line has two ends. One end of a line has a smaller value of time than the other end of the line. The end of the line with the lesser value of time shows where and when the motion of the object represented by the line starts. The end of the line with the greater value of time shows where and when the motion of the object represented by the line ends.

Now let’s consider that distance is what is represented by the vertical axis. We now see that the greater the change in the value of the horizontal axis between the ends of a line, the greater the time that the object represented by the line moved for. This also means that the greater the change in the value of the vertical axis between the ends of a line, the greater the distance that the object represented by that line moved.

In this question, we’re essentially asked which line represents the object that travels for the greater time. The question doesn’t ask us anything about the distance for which either object travels. Because we’re only considering the times that the objects travel for, to find the times that the objects represented by the lines travel for, we only need to look at the changes in the value on the horizontal axis of the ends of the lines.

If we look closely, we can find which line has the greater value on the horizontal axis. This is clearly object A. So we know that object A has traveled for a greater time than object B.

So the correct answer is option (B). Object A travels the greater time.

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