How do you determine which line is faster when comparing two lines on a time vs. position graph?

Well, as we've discussed under another one of your questions, lines on graphs don't have speed. But the lines have slopes, and the slope of the graph at every point is the speed of the object the line represents, at that time.
So if there are two lines on a position/time graph, the line with the steeper slope represents a greater speed than the flatter line does.
Funny thing: One line could even be dropping while the other one is rising. That's OK. It just means the objects are moving in opposite directions. The steeper line still indicates the faster speed.

Answered by AL2006 | 2024-06-10

To determine which line is faster on a position vs. time graph, compare the slopes of the lines. A steeper slope indicates a higher speed, while a flatter slope indicates a lower speed. Always consider the direction of the slope, as both steep positive and steep negative slopes indicate high speeds, but in different directions.
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Answered by AL2006 | 2024-10-02