(c) Data Table 2 shows data taken in a free-fall experiment. Measurements were made of the...

 

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(c) Data Table 2 shows data taken in a free-fall experiment. Measurements were made of the distance of fall (19 at each of four precisely measured times. Complete the table. Use only the proper number of significant figures in your table entries, even if you carry extra digits during your intermediate calcula- tions. DATA TABLE 2 Time, / (s) 0 0.50 0.75 1.00 1.25 V 0 1.0 2.6 4.8 8.2 3/ 0 1.4 3.2 4.9 7.9 Distance (m) y's 0 = 1.1 2.8 5.1 7.5 Ya 0 1.4 2.5 4.7 8.1 Vs 0 1.5 3.1 4.8 a y 0 0 O 1.28 1.4 0.2 0.25 2.84 3.0 0.3 0.6 1 486 5.0 0.1 7.82 8.0 0.3 1.56 7.4 d (d) Plot a graph of y versus / with d error bars for the free-fall data in part (c). known point. Remember that : = 0 is a = (e) The equation of motion for an object in free fall starting from rest is y gt, where g is the accelera- tion due to gravity. The graphical form of this equation and of the data plotted in part (d) is called a ax. parabola, which has the general form y = Plot a graph of y versus 2 for the data in Data Table 2; that is, plot the square of the time on the ab- cissa. (Use regional circles around the data points rather than error bars.) This will then be a plot of y gtgt', which is the general form y = ax or that of a straight line versus t', where t' with a slope ag (and intercept b = 0).] Determine the slope of your graph and compute the ex- perimental value of g. = = (c) Data Table 2 shows data taken in a free-fall experiment. Measurements were made of the distance of fall (19 at each of four precisely measured times. Complete the table. Use only the proper number of significant figures in your table entries, even if you carry extra digits during your intermediate calcula- tions. DATA TABLE 2 Time, / (s) 0 0.50 0.75 1.00 1.25 V 0 1.0 2.6 4.8 8.2 3/ 0 1.4 3.2 4.9 7.9 Distance (m) y's 0 = 1.1 2.8 5.1 7.5 Ya 0 1.4 2.5 4.7 8.1 Vs 0 1.5 3.1 4.8 a y 0 0 O 1.28 1.4 0.2 0.25 2.84 3.0 0.3 0.6 1 486 5.0 0.1 7.82 8.0 0.3 1.56 7.4 d (d) Plot a graph of y versus / with d error bars for the free-fall data in part (c). known point. Remember that : = 0 is a = (e) The equation of motion for an object in free fall starting from rest is y gt, where g is the accelera- tion due to gravity. The graphical form of this equation and of the data plotted in part (d) is called a ax. parabola, which has the general form y = Plot a graph of y versus 2 for the data in Data Table 2; that is, plot the square of the time on the ab- cissa. (Use regional circles around the data points rather than error bars.) This will then be a plot of y gtgt', which is the general form y = ax or that of a straight line versus t', where t' with a slope ag (and intercept b = 0).] Determine the slope of your graph and compute the ex- perimental value of g. = =

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