4.2.3 Data Analysis If this is truly SHM then the position and velocity as a function of time should be described by equations (4.2) and (4.3), respectively. 1. One of the fit functions available to you in Logger Pro is A*sin (Bx+C)+D. Use the Curve Fit tool to fit the two data sets using this function. Include a screen capture of the Logger Pro graphs with the fits. 2. There are three measurements of w derived from the two fits. The parameter B is directly w in both fits while the ratio of the amplitude of the velocity function (wA - see eq 4.3) to that of the position function (A - see eq. 4.2) also yields a value of w. Write the three values of w that you measured in your report. 3. Take the average of the three w values. Qualitatively, how does this value compare with the w you get using equation 4.5? The value of k for this spring is 18.0 0.5 N/m. 4. The parameter C in the fit function is the phase. Are the position function and velocity function out of phase by /2 according to the fits