Below you will see graphs from actual data.
The second s vs. t graph shows the equation for the section of the graph between 0 and .2 seconds for which the object was accelerating. Notice that twice the coefficient of the x2 term represents the accleration and in this case equals 4.78 m/s2.
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The second v vs. t graph shows the equation of the line between 0 and .2 seconds so the slope of that line will represent the acceleration as well. In this case, it is equal to 4.75 m/s2.
Finally the second graph of a vs. t shows the statistics for the acceleration between 0 and .2 seconds and the mean value is given as 4.66 m/s2.
This lab was done with water as the fluid in the tube. Other more viscous fluids give even more dramatic results.
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