Analyzing x/t Graph - Accelerations & Inflections

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AI Thread Summary
The discussion focuses on analyzing an x/t graph to determine the signs of position (x), velocity (v), and acceleration (a) at various points. It confirms that acceleration is positive when the graph is concave up, negative when concave down, and zero at points of inflection. Participants express gratitude for clarifying these concepts, indicating a collaborative learning environment. The conversation highlights the importance of understanding graph behavior in relation to motion. Overall, the thread serves as a helpful resource for those revisiting graph analysis in physics.
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Homework Statement


Given this graph:
[PLAIN]http://img683.imageshack.us/img683/2403/xvtt.jpg

where is x>0, x<0, x=0, v>0, v<0, v=0, a>0, a<0, a=0?



The Attempt at a Solution


I figured out everything up to the accelerations, it's just been a long time since I've had to do a problem such as this.
Is the acceleration positive where the graph is concave up, negative where it is concave down, and 0 at the points of inflection?
 
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welcome to pf!

hi dazedy! welcome to pf! :smile:
dazedy said:
Is the acceleration positive where the graph is concave up, negative where it is concave down, and 0 at the points of inflection?

Yup! :biggrin:
 
Thanks :)
It's been years since I've had to look at a graph like this...
 
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