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In this expression, Δx is the change in position (the displacement) and Δt is the amount of time ... Yes, this would be a boring graph—but let's do it anyway. Here's what it would look like.
Such graphs are known as displacement-time graphs. Sections A and C show travelling away from home. Sections B and D are when the journey has paused for a rest or a wait.
Learn the uses of equations and graphs of motion and how to determine other aspects of the motion of objects. BBC Bitesize Scotland Higher Physics revision.