Trial Time Average Average^ Distance 0.71 Average (: Displacement (m) Displacement (m) 0.73 0.72 0.52 0.1 3 0.73 0.72 0.1 0.9 1.18 1.12 0.2 0.8 1.09 1.12 1.26 0.2 1.29 0.3 0.7 3 1.1 1.51 0.4 7 0.6 y = 0.3236x 1.41 1.64 0.5 0.5 1.17 1.29 1.66 0.3 1.73 0.6 0.4 3 1.28 1.76 0.7 0.3 1.59 1.98 0.8 0.2 2 1.5 1.51 2.28 0.4 0.1 1.44 0.5 1.5 2 2.5 1. 1.68 1.56 1.64 2.69 0.5 Average^: Displacement (m) Average Time (s) 3 1.68 1.79 0.52 0.1 Displacement (m) vs. Time (s) Squared 1.51 1.73 3.00 0.6 1.26 0.2 0.9 3 1.9 1.66 0.3 0.8 1.67 2.28 0.4 1.79 1.76 3.10 0.7 2.69 0.5 0.7 3 1.82 3.00 0.6 0.6 2.02 3.10 0.7 0.5 2 1.98 1.98 3.91 0.8 3.91 0.8 0.4 1.93 0.3 0.2 0.1 0.5 1.5 2.5 3.5 4 4.5 Distance (m)
In my assignment, I was asked to perform a lab experiment. I was to take a provided ball and roll it at a given angle at measured increments - 0.1m-.8m. I measured the time in seconds it took to go from 0 to each point - 0-.1, 0-.2, etc. My lab assignment asked me to perform each step three times. I did this, rolling the ball 3 times from 0-0.1 and calculating the time. I used an app on my phone, slowed down, and went to the closest time interval I could for each test. Naturally, my results for each of the 3 tests for all 8 distances was a bit off, as I would expect given my inexperience and inaccuracy of the tools used to begin with. The lab then asks to chart these values - which I inserted a chart of each trial, the time of each trial, and then calculated the average time ((trial 1 + trial 2 + trial 3)/3). The part I am stuck on is that the next activity it asks me for is: "Calculate the square of the average time for each distance, then create a graph of displacement vs. time squared from the data." In the expanded lab notes, it states that graphing the displacement vs. time data should generate a parabola. However, in my graph, the displacement (0-.8m) compared to the square of the average time (s2) is providing just a more spaced-out version of the same line I achieve by graphing displacement(m) vs. time (s). See the chart attached. Am I misunderstanding a definition or calculation?
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