Physics I Lab Manual 2011 34 - EXPERIMENT 3 FREE FALL...

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EXPERIMENT 3. FREE FALL ANALYSIS 5. Select the functional form that you wish to fit. Initially we will assume the mass was in freefall so that the displacement versus time is parabolic. Select “Axˆ2+Bx+C (Quadratic)” as the function that describes this model. 6. Estimate the free parameters. If the curve fit will have the form y = Ax 2 + Bx + C , and your model for the trajectory of the object has the form y ( t ) = y 0 + v 0 + 1 2 gt 2 , determine what the values of A , B , C and x are in terms of the quantities y 0 , v 0 , g and t . 7. Try out your expected parameters. Select “Manual” from the options for “Fit Type” in the curve fitting window and type in values for A , B , and C based on the values you found in your free fall analysis in the previous lab. Record the value of the root mean square error (RMSE) determined by Logger Pro and shown at the bottom of the coefficients window. This describes the distance (in the vertical direction) of a typical data point from the curve with the parameters you entered. Observe the plot of this
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