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Without looking at the numbers, does the graph above show a greater speed at 10 s or at 40 s?How can you tell?

Without looking at the numbers, does the graph above show a greater speed at 10 s-example-1
User Yaroslav Melnichuk
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1 Answer

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17 votes

We are given a graph of position vs time, and we are asked to determine which speed is greater at two different points. In this type of graph, the velocity is represented by the slope of the line of the graph. First, we need to determine which line corresponds to each of the required times. We need to determine which line corresponds to 10 seconds and which line corresponds to 40 seconds. We can do this by observing which line is above each time point, like this:

We notice that the slope of the line above the 10 seconds is larger than the slope of the line above the 40 seconds, therefore, the speed at 10 seconds is greater than the speed at 40 seconds.

Without looking at the numbers, does the graph above show a greater speed at 10 s-example-1
User Milan Markovic
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