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Gravity Lab

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Gravity Lab The goal of the experiment was to identify the gravitational acceleration from the recorded distance(cm) vs time(sec) data of a fallen object. The first step was to graph the distance-time graph from the data collected. Upon graphing the data, the best fit line was identified in order to find the formula of the function. As the data is representative of a graphical parabola, a parabolic function was utilized to be the best fit trendline. The function Positon=404.289cm/s^2(t^s) + 44.450cm/s(t) +4.876cm was identified. In the equation, 404.289cm/s^2(t) represents the slope of the parabolic curve pertaining to the distance(cm) over time(sec) as the 4.876cm displays the y-intercept in which the function crosses the axis leading to the resulting curve. From identifying the distance-time graph equation, the next step is to find the velocity of the set data. …show more content…

However, in order to find a linear slope of a parabolic curve, the mathematical equation of distance/time^2 ( pertaining to the data as cm/s^2) is used to produce the linearization of the distance-time graph. A linear distance-time graph is the equivalent of a velocity-time graph by identifying the slope of the distance-time graph. Another best fit line (a linear trendline) was plotted within the newly charted velocity-time graph. The equation identified through the trendline was Velocity=808.578cm/s^2 (t) +44.450 cm/s. The 44.450cm/s represents the point in which the linear data crosses the y-axis as the y-intercept. Additionally, the 808.578cm/s^2 represents the slope of the velocity-time graph in which the acceleration can be

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