The following velocity–time graph represents a particle moving in the positive x–direction. Analyse its motion from 0 to 7 s. Calculate the displacement covered and distance travelled by the particle from 0 to 2 s.
That sounds like a textbook or "homework" question so I will only say how you need to proceed. The graph is a series of straight line segments on a velocity/time graph so you can say something about each segment in regards to acceleration.
For each segment you can then work out the displacement which is how far the final position is from the initial for that segment alone.
You are asked for the "displacement covered" which again would be final mnus initial but for the whole graph.
You can also combine the first two segments to get the "distance travelled by the particle from 0 to 2s".
Happy computing,
George
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