PROCEDURE: In the previous laboratory, you measured the velocity of a freely-falling body, Where 1? = 170 + gt (13) where Va is the initial velocit ' ' ' . . y, g is the grawtational acceleration, and t is the time. Com are nation 13 With the equation of a straight line y = mx + b, we see that b = Va, and m = 8- p Bq ( ) A. M . . . gilnetg?:esismllllir '0 the table below in a spread sheet program. Use the values of velocity and time calculation in-Ea laboratory for y, and x" Calculate 5' Sb 52, 33, \"Id 5' (Ifyou don't know how to do your lab notebozliexzriie Appendix I) You greed to keep 5 signicant gures. Record the results in , appropriate units. 1 o - . - . see appendix I for ins tTllCtions. y u are not familiar With spreadsheet calculations, please B. Compute the slope m and y-intercept b using the values of so, 5;, s2, 33, and 5.: found in Pan A. Then use m and b to obtain the values of g and va. You can use the spreadsheet for calculations, but you need to show the equations and the numbers you used for the calculations in your lab notebook. C. Calculate mx,- + b, and then (yi mxi - b)2, 201, mx, b)2 in the spreadsheet. Then calculate a. Record 0' in your lab notebook. Be sure you show the equations and numbers used in the lab notebook. The values of mx: + I) should be very close to vi, why? D. In your lab notebook, calculate the standard deviation of 12:), 61:0 (= 613), using Equation (1 1). In your lab notebook, calculate the standard deviation of g, 6g (= 6m), using Equation (10). F. Now use the least-squares-t program in the spreadsheet to calculate the slope, the y-intercept, and their standard deviations for the data velocity versus time. If you use Excel, it is the \"Linest\" function which you have used in the graphic analysis lab. of m, b, 6m,6b calculated by the computer. Are these the same as what you G. Write down the values a? Do you know how the computer program calculated in part (B), (D) and (B) using the s values and calculated the values? H. Now that you have the value and uncertainty in g, express g in standard form. ls 9.81 III/$2 within the range