Ap Physics 1 Summer Assignment Worksheet Page 12
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13Sample AP Graphing Exercise
A steel sphere is dropped from rest and the distance of the fall is given by the equation
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2
�� =
����
. D is the distance fallen and t is the time of the fall. The acceleration due to
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gravity is the constant known as g. Below is a table showing information on the first
two meters of the sphere’s descent.
a) Draw a line of best fit for the distance vs. time graph above.
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.
d) Calculate the value of g by using the slope of the graph.
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