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You have landed on a planet with no atmosphere. To determine the magnitude of the gravitational acceleration g near the surface of the planet, you drop a small ball and record the distance fallen y as a function of time t. Here are your data t(s) (m) 0 0.10.06 0.20.24 0.30.57 0.40.98 0.51.55 0.62.17 0.73.05 0.84.08 0.95.01 1 6.48 0 Paste this data table into an Excel spreadsheet. Produce a graph of y(m) versus t(s). Add a trendline. Choose Polynomial, Order 2 and under options click Display equation on chart. Format the trendline label so that it shows 3 decimal places. What is g based on these data?

Also, should g' be a negative value?

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The table which provides the values of distance in vertical direction corresponds to their time is as shown in the figure. y(Distance versus time Trend line 6.7284x2 0.3766x+0.0324 3 y(m) 0.2 0.6 0.8 1.2 -2 r(s) From the above graph, the second orderCompare the equations (1) and (2) to obtain the acceleration due to gravity. g-6.7284 2 g 13.4568m/s2

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