25) This problem simply asks us to consider the following statements and choose the one that is true at time T.
Choices A, B, and C: These three choices compare the speed of the trains. Since we are given a distance versus time graph, we can find the speed by approximating the derivative(the slope) of the graphs at time T. To do this, we can draw an approximate tangent line at point T.
This diagram clearly shows that the slope of graph X is greater than that of graph Y. This means the speed of Train X will be greater than the speed of Train Y at time T. Choices B and C are false, but choice A is true.
Choices D and E: These choices compare the distance traveled by the two trains. The problem states that the objects start at the same position, and at time T, the trains have traveled the same distance from their starting point. This means they are right next to each other, so both choice D and choice E are false.
Answer: A
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