The purpose of this experiment is to use the given data to plot graphs and determine the experimental values of the acceleration due to gravity. A. The table below shows data taken in a free-fall experiment. Measurements were made of the distance fall (y) at each of four precisely measured times. Complete the table. Round off to same number of decimal places, even if you carry extra digits during your intermediate calculations. Time, dy,(m) ly.(m)ly,(m)ly.(m)ly.(m) (s) (s) 0.00 0.00 0.00 0.00 0.00 0.00 0.50 1.0 1.4 1.1 1.4 1.5 0.75 2.6 3.2 2.8 2.5 1.00 4.8 4.4 5.1 4.7 4.8 1.25 8.2 7.9 7.5 8.1 7.4 B. The equation of motion for an object in free fall starting from rest is y = ½ gť, where g is the acceleration due to gravity. This is the equation of a parabola, which has the general form y = ax². Convert the curve to a straight line by plotting i versus t. That is, plot the square of the time on the horizontal axis. Determine the slope of the line and compute the experimental value of g from the slope value. Calculations (show work) value of g from graph Experimental (units) c. Compute the relative percent error of the experimental value of g determined from the graph in part C. (Accepted value: g = 9.80 m/s².)
The purpose of this experiment is to use the given data to plot graphs and determine the experimental values of the acceleration due to gravity. A. The table below shows data taken in a free-fall experiment. Measurements were made of the distance fall (y) at each of four precisely measured times. Complete the table. Round off to same number of decimal places, even if you carry extra digits during your intermediate calculations. Time, dy,(m) ly.(m)ly,(m)ly.(m)ly.(m) (s) (s) 0.00 0.00 0.00 0.00 0.00 0.00 0.50 1.0 1.4 1.1 1.4 1.5 0.75 2.6 3.2 2.8 2.5 1.00 4.8 4.4 5.1 4.7 4.8 1.25 8.2 7.9 7.5 8.1 7.4 B. The equation of motion for an object in free fall starting from rest is y = ½ gť, where g is the acceleration due to gravity. This is the equation of a parabola, which has the general form y = ax². Convert the curve to a straight line by plotting i versus t. That is, plot the square of the time on the horizontal axis. Determine the slope of the line and compute the experimental value of g from the slope value. Calculations (show work) value of g from graph Experimental (units) c. Compute the relative percent error of the experimental value of g determined from the graph in part C. (Accepted value: g = 9.80 m/s².)
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