How do we calculate slope of a acceleration vs.time graph?

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To calculate the slope of an acceleration vs. time graph, one must determine the change in acceleration (∆a) over the change in time (∆t). This slope represents the rate of change of acceleration, which can indicate how the acceleration of a falling object varies over time. In the context of gravity, a constant slope suggests uniform acceleration, while a varying slope indicates changing forces acting on the object. The discussion also highlights issues with sharing graph images, which can hinder communication. Understanding the slope is essential for analyzing motion in physics experiments.
Roro312
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Im doing a lab about acceleration due to gravity.
And one of the things we had to do is make a a-t graph using the Aave and Ttotal.
Interval ∆t Ttotal ∆d Dtotal Vave ∆v Aave(cm/s^2)
1 0.050 0.050 2.0 2.0 40 - -
2 0.050 .100 4.0 6.0 80 40 800
3 0.050 .150 6.8 12.8 136 56 1120
4 0.050 .200 8.5 21.3 170 34 680
5 0.050 .250 11.0 32.3 220 50 1000
6 0.050 .300 13.9 46.2 278 58 1160
7 .050 .350 15.5 61.7 310 32 640
8 .050 .400 17.4 79.1 348 38 760

my graph looks something like this [PLAIN]http://www.kwantlen.bc.ca/...ebtests/xtgraphquiz/images/image002[/PLAIN] .

My question is how do we calculate slope on a a-t graph and what does this slope tell us about falling objects. Thanks
 
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tiny-tim said:
Hi Roro312! Welcome to PF! :smile:


Your link isn't working. :redface:

How about this: http://img370.imageshack.us/img370/9488/96191446sb5.jpg
It looks similar to it
 
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