lab 3 report

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Anne Arundel Community College *

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411

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Statistics

Date

Feb 20, 2024

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docx

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3

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Experiment #3 Motion With Constant Velocity Chase Hall Amir Hajiabbasi 2/22/2022 Section 0307 Introduction: For the lab, we looked at forces acting on an object in certain periods of time with constant velocity and with calculations for an object to reach a certain point along a track with measurements labeled on it. Data and Analysis: distanc e time cm s s 25 1.02 0.09914 6 0.89 1.02 0.81 0.84 90 cm avg 0.916 50 1.45 0.2505 1.99 1.86 1.63 1.42 65 cm avg 1.67 75 2.31 0.16619 3 2.74 2.66 2.5 2.5 40 cm avg 2.542
90 3.1 0.09607 3 3.02 3.03 3.23 2.99 25 cm avg 3.074 indep variabl e indep var uncert dep variabl e dep var uncert avg t deltat avg distanc e s s cm cm 0.916 0.04434 25 1 1.67 0.11202 7 50 1 2.542 0.07432 4 75 1 3.074 0.04296 5 90 1 interce pt int uncert slope slope uncert sum c 2 s - 2.23707 2.40577 8 30.1248 3 1.05116 1 0.46870 9
20 30 40 50 60 70 80 90 100 0 0.5 1 1.5 2 2.5 3 3.5 f(x) = 0.03 x + 0.05 Distance vs. Average Time Distance (cm) Avg Time (s) Sources of Uncertainty: Uncertainty for the intercept is 2.41, this is a good amount for measuring within the centimeters with observation, the accuracy of these values are variable enough to be concerning but not enough to discredit the data collected. The uncertainty for the slope is 1.05. This value emphasizes that more accurate measurements are needed but is difficult to obtain with just observation for data collection. These values still are not too high for a completely inaccurate measurement. Conclusions: The results collected in this experiment provided statistical results on the motion of objects with a constant velocity. The distances used for measuring this object’s motion at certain time periods were 25cm, 50cm, 75cm, and 90cm, the averages and standard deviations were 0.92 and 0.04, 1.67 and 0.11, 2.54 and 0.07, and 3.07 and 0.04 respectively for each distance. The standard deviations were very low for most of the values and the values are consistent through observation. The slope is y=30.12x-2.24, meaning this is an increasing plot that was measured with uncertainties of 2.41 for the intercept and 1.05 for the slope which should be zero, but certain values could have been observed too early or too late when measuring data. The sum chi-square value is 0.47, meaning the data is correlated relatively accurately for using observation alone.
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