The equation of motion for an object in free fall starting from rest is y =...
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The equation of motion for an object in free fall starting from rest is y = %gr, where g is the acceleration due to gravity. The graphical form of this equation and the data plotted in Fig. 1 is called a parabola, a polynomial of degree 2, which has the general form y = ar+br+c , where a, b, c are constants with values a = g/2, b 0, c =0 respectively for the present case. %3! %3D For data given in table 1 plot y vs?. This will be the plot of y vs t'where t' which has the general form of y ax+b, a = g/2 and b = 0. (a) Determine the experimental value of g from the slope of your graph. r %3D (b) Compute the percent error of the experimental value of g determined from the graph in (a) Data Table 1 y (m) 0.00 0.50 f(s') t (s) 0.00 0.00 TOT 0.31 0.10 1.00 0.19 0.44 0.28 1.50 2.00 2.50 3.00 3.50 4.00 0.53 0.63 0.71 0.76 0.40 0.50 0.58 0.83 0.89 0.94 1.00 0.69 0.79 4.50 5.00 0.88 1.00 Free Fall, Height vs time graph red quantit y = 4.83012 + 0.2025t - 0.0093 6.00 5.00 4.00 3.00 2.00 1.00 0.00 1.20 1.00 0.00 0.60 0.20 0.40 0.80 -1.00 t(s) FIGURE 1 (w) A The equation of motion for an object in free fall starting from rest is y = %gr, where g is the acceleration due to gravity. The graphical form of this equation and the data plotted in Fig. 1 is called a parabola, a polynomial of degree 2, which has the general form y = ar+br+c , where a, b, c are constants with values a = g/2, b 0, c =0 respectively for the present case. %3! %3D For data given in table 1 plot y vs?. This will be the plot of y vs t'where t' which has the general form of y ax+b, a = g/2 and b = 0. (a) Determine the experimental value of g from the slope of your graph. r %3D (b) Compute the percent error of the experimental value of g determined from the graph in (a) Data Table 1 y (m) 0.00 0.50 f(s') t (s) 0.00 0.00 TOT 0.31 0.10 1.00 0.19 0.44 0.28 1.50 2.00 2.50 3.00 3.50 4.00 0.53 0.63 0.71 0.76 0.40 0.50 0.58 0.83 0.89 0.94 1.00 0.69 0.79 4.50 5.00 0.88 1.00 Free Fall, Height vs time graph red quantit y = 4.83012 + 0.2025t - 0.0093 6.00 5.00 4.00 3.00 2.00 1.00 0.00 1.20 1.00 0.00 0.60 0.20 0.40 0.80 -1.00 t(s) FIGURE 1 (w) A
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Posted Date:
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