Compute for the average time of each free-fall distance. Compute for each average time squared for each free-fall distance.  Compute for a slope.  Compute for the percentage error.  Give Analysis

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Chapter39: Relativity
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Problem 39.5CQ
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Compute for the average time of each free-fall distance.

Compute for each average time squared for each free-fall distance. 

Compute for a slope. 

Compute for the percentage error. 

Give Analysis

The slope of the best fit line is equal to one-half of the experimental
acceleration (g.). Determine slope of best-fit line by choosing any two points
within the line. With slope = 1/2.gep, Ssolve for g.ap using the equation, slope =
rise/run.
O Using the obtained g and the theoretical value of the acceleration
(gre = 9.80 m/ s'), find the percentage error. By careful measurement of each
time trial, percentage error may be less than 10%.
% error = g.p- gmeor X 100 %
Transcribed Image Text:The slope of the best fit line is equal to one-half of the experimental acceleration (g.). Determine slope of best-fit line by choosing any two points within the line. With slope = 1/2.gep, Ssolve for g.ap using the equation, slope = rise/run. O Using the obtained g and the theoretical value of the acceleration (gre = 9.80 m/ s'), find the percentage error. By careful measurement of each time trial, percentage error may be less than 10%. % error = g.p- gmeor X 100 %
Time (s)
tave?
(s)
Distance
(m)
Trial 1
Trial 2
Trial 3
Trial 4
Trial 5
Average
0.15
0.478
0.34
0.336
0.214
0.638
0.30
0.231
0.259
0.237
0.308
0.35
0.45
0.752
1.203
0.287
0.285
0.564
0.60
0.753
0.245
0.404
0.28
0.27
0.75
0.609
0.499
0.265
0.551
0.57
0.90
0.443
0.553
0.509
0.313
0.569
1.05
0.589
0.589
0.598
0.677
0.482
1.20
0.654
0.687
0.491
0.589
0.543
1.35
0.521
0.711
0.457
0.611
0.762
1.50
0.902
0.941
1.052
0.828
0.736
1.65
0.848
0.843
0.736
0.86
0.774
1.80
0.885
0.896
0.727
0.844
1.289
Transcribed Image Text:Time (s) tave? (s) Distance (m) Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 Average 0.15 0.478 0.34 0.336 0.214 0.638 0.30 0.231 0.259 0.237 0.308 0.35 0.45 0.752 1.203 0.287 0.285 0.564 0.60 0.753 0.245 0.404 0.28 0.27 0.75 0.609 0.499 0.265 0.551 0.57 0.90 0.443 0.553 0.509 0.313 0.569 1.05 0.589 0.589 0.598 0.677 0.482 1.20 0.654 0.687 0.491 0.589 0.543 1.35 0.521 0.711 0.457 0.611 0.762 1.50 0.902 0.941 1.052 0.828 0.736 1.65 0.848 0.843 0.736 0.86 0.774 1.80 0.885 0.896 0.727 0.844 1.289
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