Position and acceleration graphs

AI Thread Summary
To determine position and acceleration graphs from given velocity graphs, it's essential to understand that acceleration is represented by the slope of the velocity graph. The acceleration graph cannot be option F, as it does not show any abrupt changes in slope. Additionally, the position graph cannot be option I, since a negative slope at t=7 indicates that the velocity should also be negative. Correctly identifying these relationships is crucial for accurate graph interpretation. Understanding these concepts will help clarify the connections between the different types of motion graphs.
dlee9
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Homework Statement


Find the position and acceleration graphs from the velocity graphs given.

Homework Equations

The Attempt at a Solution


I'm pretty sure I've gotten some of them correct but I don't know which one I've done wrong.
 

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here are the velocity graphs given
 

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I think you should check the first and last answers..

The graph for ax cannot be F. Acceleration is the slope of the velocity curve. At no point does the slope of the velocity curve change abruptly.

The graph for the position x cannot be I. At t=7 the slope of the position graph I is negative so the velocity should be negative.
 
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