Data Analysis The following data table shows data taken in a free-fall experiment. Measurements were made of the time of fall () at each of six precisely measured distances. Complete the table. Use only the proper number of significant figures in your table entries, even if you carry extra digits during your intermediate calculations. Distance, y t (s) 12 (s) t, (s) 1 (s) 1, (s) avg (S) 12 (s ? ) (m) d (s) 1.50 0.553 0.560 0.552 0.556 0.555 1.25 0.502 0.504 0.505 0.504 0.504 1.00 0.450 0.450 0.455 0.458 0.450 0.75 0.387 0.387 0.390 0.387 0.389 0.50 0.319 0.315 0.316 0.316 0.316 0.25 0.223 0.222 0.223 0.222 0.222 (a) Plot a graph of y versus (, with 2d error bars for the free fall data given above. (b) The equation of motion for an object in free fall starting from rest is given by y = = g, where g is the acceleration due to gravity. Plot a graph y versus (, with 20 error bars to obtain a straight line graph (plot the square of the time on the abscissa). Determine the slope of the line graph and compute the experimental value of g from the slope of the graph. Experimental value of g from the graph (units) (c) Compute the percent error of the experimental value of g determined from the graph in part (b). (Accepted value: g =9.80 m/s' ) Percent error