How can you tell the difference between a velocity-time graph, an acceleration-time graph, and a...?

Question

How can you tell the difference between a velocity-time graph, an acceleration-time graph, and a displacement-time graph? And how do you read them?

Answer 1

Depends on what they are graphs of.
If A, B and C are all graphs of the same motion, you can determine which is which by finding which one's slope corresponds to another's displacement. You'll end up with one whose displacement doesn't correspond to any other slope; that's the displacement. You'll also have one whose slope doesn't correspond to any other displacement and that's the acceleration.
If A, B and C are related to a mechanical phenomenon and are not sampled data, look for any step functions in the plot; that has to be acceleration, since velocity and displacement steps only happen in science fiction.
If the three are unrelated and contain no step functions, I think you're out of luck unless they came from the same, known system and you know something about the frequency content of that system's output. Then you might be able to judge based on the idea that increasing derivatives contain increasing proportions of high-frequency data.
How you read them is another question with a long answer, which I won't go into.

Answer 2

pace is the spinoff of the the role position with recognize to time. The role time graph might plot distance as opposed to time. The pace time graph might plot the pace as opposed to time. a Velocity time graph that is a horizontal line above the axes, might equate to a role time graph that's a instantly line commencing low at early instances and top at later time.

Answer 3

Look at graph caption.