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The given figure represents the displacement-time graph of a body in motion. To determine the ratio of the speed in the first second to that in the next two seconds, we need to analyze the graph carefully.
In the first second shown in the graph, the body covers a certain distance, which is represented by the change in displacement. By observing the graph, we can see that the body covers a shorter distance during the next two seconds compared to the first second. This suggests that the speed of the body during the next two seconds is slower than in the first second.
Option 1 states a ratio of 1:2, which means the speed in the first second is half the speed in the next two seconds. However, this is not consistent with the graph shown, as the speed in the next two seconds is actually slower.
Option 2 states a ratio of 1:3, implying that the speed in the first second is one-third of the speed in the next two seconds. Again, this is not consistent with the graph, as the speed during the next two seconds is slower.
Option 3 states a ratio of 3:1, which suggests that the speed in the first second is three times greater than the speed in the next two seconds. This is also