Suppose you collected a data set in which you measured fall-times fordifferent fall-heights. You plotted the data and fit the mathematical model,y Ax2, to match the physical hypothesis, y 1/2*g*t2. From the best-fitcurve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 t 0.4m/s2. Determine the value of g+ &g for this fit-parameter value.

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Asked Oct 7, 2019
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Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax2, to match the physical hypothesis, y = 1/2*g*t2. From the best-fit curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 ± 0.4 m/s2. Determine the value of g ± (delta)g for this fit-parameter value.

Suppose you collected a data set in which you measured fall-times for
different fall-heights. You plotted the data and fit the mathematical model,
y Ax2, to match the physical hypothesis, y 1/2*g*t2. From the best-fit
curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 t 0.4
m/s2. Determine the value of g+ &g for this fit-parameter value.
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Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y Ax2, to match the physical hypothesis, y 1/2*g*t2. From the best-fit curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 t 0.4 m/s2. Determine the value of g+ &g for this fit-parameter value.

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Expert Answer

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2 Ratings
Step 1

The relation between the fit parameter A from the given mathematical model to and the parameter g from the physical hypothesis from the problem above can be shown to be simply,

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g 2A

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Step 2

From the calculated value of the fit parameter A , calculate g as,

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4.6m/s2 9.2m/s2

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Step 3

The uncertainty in g is c...

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2 SA Sg 2g,

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