Sample AP Graphing ExerciseA steel sphere is dropped from rest and the distance of the fall is given by the equationD=;gt. D is the distance fallen and t is the time of the fall. The acceleration due togravity is the constant known as g. Below is a table showing information on the firsttwo meters of the sphere's descent.Distance of Fall (m)Time of Fall (s)Distance (m)2.52.01.51.00.50.100.1400.10.500.321.000.460.31.700.592.000.630.20.4a) Draw a line of best fit for the distance vs. time graph above.0.5d) Calculate the value of g by using the slope of the graph.SteelSphereRecordingPlate0.60.7- Time (s)Db) If only the variables D and t are used, what quantities should the student graph in order to produce alinear relationship between the two quantities?c) On the grid below, plot the data points for the quantities you have identified in part (b), and sketch thestraight-line fit to the points. Label your axes and show the scale that you have chosen for the graph.

Solution Part A By plotting the graph In part B To get the linear relationship between D and t…

Sample AP Graphing Exercise A steel sphere is dropped from rest and the distance of the fall is given by the equation gt². D is the distance fallen and is the time of the fall. The acceleration due to gravity is the constant known as g. Below is a table showing information on the first two meters of the sphere's descent. Distance of Fall (m) Time of Fall (s) Distance (m) 2.5 2.0 1.5 1.0 0.5 0.10 0.14 0 0.50 0.32 0.2 1.00 0.46 1.70 0.59 2.00 0.63 0.5 0.1 0.3 0.4 a) Draw a line of best fit for the distance vs. time graph above. Steel Sphere Recording Plate 0.6 1 0.7 Time (s) b) If only the variables D and t are used, what quantities should the student graph in order to produce a linear relationship between the two quantities? c) On the grid below, plot the data points for the quantities you have identified in part (b), and sketch the straight-line fit to the points. Label your axes and show the scale that you have chosen for the graph.

Sample AP Graphing Exercise A steel sphere is dropped from rest and the distance of the fall is given by the equation gt². D is the distance fallen and is the time of the fall. The acceleration due to gravity is the constant known as g. Below is a table showing information on the first two meters of the sphere's descent. Distance of Fall (m) Time of Fall (s) Distance (m) 2.5 2.0 1.5 1.0 0.5 0.10 0.14 0 0.50 0.32 0.2 1.00 0.46 1.70 0.59 2.00 0.63 0.5 0.1 0.3 0.4 a) Draw a line of best fit for the distance vs. time graph above. Steel Sphere Recording Plate 0.6 1 0.7 Time (s) b) If only the variables D and t are used, what quantities should the student graph in order to produce a linear relationship between the two quantities? c) On the grid below, plot the data points for the quantities you have identified in part (b), and sketch the straight-line fit to the points. Label your axes and show the scale that you have chosen for the graph.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter4: Forces In One Dimension

Section: Chapter Questions

Problem 80A

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