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For an object dropped or released from rest, it's position as a function of time is given by y = = gt? Students conduct a lab where they drop a metal, spherical object and film its descent in slow motion. Then, using the video, they obtain the position of the sphere below its release point, y, at specific time intervals, /. The data is shown in the Table below y (m) #0.5 cm 1 (s) +0.01 s 0.0 0.00 7.0 0.10 14.5 0.15 24.0 0.20 37.5 0.25 52.0 0.30 69.0 0.35 a. Will a plot of y vs r create a linear graph? Why or why not? b. What can students plot to create a lincar graph of their data? What is the physical significance of the slope? c. Use the data to create and plot a linear graph and then use the slope of the linear graph to determine the value of the acceleration due to gravity, g. Remember to include your data Table and your graph when submitting your answers. d. Compare your experimental value of g to the actual value g = 9.81 m/'s