Why Is the Displacement Graph Parabolic in a Ticker Tape Experiment?

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In a ticker tape experiment, the displacement graph is parabolic because it represents the relationship between displacement and time for an object undergoing uniform acceleration. The vertical axis shows displacement, while the horizontal axis represents time, indicating that as time progresses, displacement increases at an accelerating rate. The linear velocity graph results from the constant change in displacement over equal time intervals, reflecting uniform acceleration. A parabolic displacement graph indicates that the object is accelerating, as the curvature of the graph shows increasing velocity over time. Understanding these relationships is crucial for analyzing motion in physics.
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Hi all,

I just had to do an experiment with ticker tape. Its a very common experiment dealing with displacement, velocity and acceleration. I have to graph each verse time. I figured out displacement would be a parabolic graph, but i don't understand why. Can someone please explain that for me? Thank you!
 
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also, why would velocity graph be linear?
 
What does a parabolic displacement graph tell you? Think what are on your horizontal and vertical axis and think about the object moving in that manner.
 
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