# 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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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. help_outlineImage TranscriptioncloseSuppose 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. fullscreen
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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,

Step 2

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

Step 3

The uncertainty in g is c...

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