course phy201
First, here is my revised table of average velocity of water surface vs. clock time because I used the intervals instead of the running clock time before: 0.00000,0.056
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0.82812,0.038956
2.07812,0.0084528
3.24218,0.0064
4.33593,0.0064
5.74218,0.00605405
6.89843,0.00601342
8.56250,0.0056
9.65625,0.00520930
9.78125,0.004978
11.12500,0.00489617
12.67187,0.004525
14.10156,0.0042264
15.75781,0.0042065
17.77343,0.0037805
19.62500,0.0035415
21.93750,0.0034728
23.91406,0.00302702
26.22656,0.00302702
28.93750,0.00258213
32.23437,0.0021232
32.41406,0.0016291
Next, I forgot to describe how I obtained my values for accleration. I took each velocity above and divided it by the time interval midpoint. You replied that ""The values you show don't appear to be consistent with the velocities and time intervals you report."" so I went back and double checked my calculations. I'm not quite sure what the problem is here but it may be because I used midpoint intervals instead of the actual intervals I obtained using the timer program, so I went back and recalculated each acceleration using the actual intervals instead of the interval midpoints. Below is my table of average acceleration vs. actual time interval:
0.125, 0.448
0.1796875,0.216798
0.828125,0.01020715
1.09375,0.00585142
1.09375,0.00585142
1.15625,0.00523593
1.164063,0.00516588
1.25,0.00448
1.34375 ,0.00387668
1.40625 ,0.00353991
1.429688 ,0.00342464
1.546875,0.00292525
1.65625,0.00255178
1.664063,0.0042065
1.851563,0.0037805
1.976563,0.0035415
2.015625,0.0034728
2.3125,0.00302702
2.3125 ,0.00302702
2.710938,0.00258213
3.296875,0.0021232
In either case, my conclusion remains the same: both the velocity and the acceleration of the water surface are decreasing over time."
An example that concerns me:
Two lines of the velocity vs. midpoint clock time table include
23.91406,0.00302702
26.22656,0.00302702.
Over this time interval of about 2.3 seconds, there is no change in velocity, so the acceleration would be 0.
It does not appear that you are basing your accelerations on changes in velocity.