Formula CO sin 0 =- x = h cos y = h DATA TABLE 1: Drop Distances and Drop Times Drop Distance Drop Time Average Average Drop Time Vi ti Drop Time Squared ( m ) (S 1 . 2 3064 . 46 m . 3067 0: 3061 010936 - 3052 . 2725 6358 - 2760 02743 1616752 12745 . 2231 0 . 243 . 2252 0 15226 /0. 2731 0.2231 -1957 . 172 . 1841 0 . 1852 /01034 2 . 1858 - 3303 6 . 526 - 32 87 0 3 340 10. 1116 3432 . 3619 0 . 643 3630 10.3639 10.1324 3670 14317 0. 808 . 4461 10:4357 . 1898 4295h co = h sine tion) CALCULATIONS 1. Using the data in TABLE 1 and Graphical Analysis, create the graph Drop Distance y vs. Drop Time-Squared P. The data should show a linear instead of a parabolic relationship since y is plotted vs. r and not . Construct a best-fit line y = Ax to the data to find the slope. Record A obtained from your best-fit. From Equation 1 VA = 5gt2 one can see that the slope of the best-fit line obtained from your y vs. to graph equals $ 1 78 Therefore, g = 2(slope). From the slope you found, calculate and record g. Experimental value of g =Formula cos sin 0 = - x = h cose y = h sine h QUESTIONS 1. Compare the experimental value of g obtained in this experiment to the accepted value. Calculate the percent error for the experimental value of g found from the graphs. 0 error 19.80 - experimental valuel 9.80 -x 100 2. Suppose the drop distances were consistently measured from the top of the ball to the ground (receptor plate) instead of from the bottom of the ball. (a) How would your measured value of g be affected? 3. If this experiment was done on the Moon, sketch and describe how your graph of Drop Distance y vs. Drop Time-Squared ? would look compared to the one you created in this lab. (Be sure to properly label your axes with units.)ction) In the equation 1 YA = = 9t2 YA = drop distance (meters)- we will name this "y" t= time to drop Seconds) From a plot of Drop Distance J vs. Drop Time-Squared " using Graphical Analysis, what equation will you use for the linear best fit? yA = Lat ? Slope Drop Distance y Yaxis= (slope)( x-axis) 0 . 0436 Drop Time Squared What will the slope be? Use the equation at the top of the page to help you. Slope =