physics making sense of data

... Making sense of data coursework The experiment A ball bearing of mass 28.82 g was rolled down a smooth ramp, which was set at a fixed angle of 5°. The time was measured and recorded using a stop clock of accuracy 0.01 s. Three times were recorded to improve accuracy. Results Distance from bottom of slope/ m Time 1/ s Time 2/ s Time 3/ s Average time/ s 0.00 0.00 0.00 0.00 0.00 0.05 0.46 0.47 0.51 0.48 0.10 0.73 0.70 0.73 0.72 0.15 0.98 0.96 1.00 0.98 0.20 1.10 1.10 1.10 1.10 0.25 1.19 1.30 1.26 1.25 0.30 1.33 1.39 1.33 1.35 0.35 1.49 1.59 1.57 1.55 0.40 1.61 1.64 1.64 1.63 0.45 1.67 1.65 1.72 1.68 0.50 1.88 1.88 1.79 1.85 0.55 1.88 1.95 1.93 1.92 0.60 1.97 2.01 1.99 1.99 0.65 2.07 2.09 2.11 2.09 0.70 2.16 2.13 2.16 2.15 0.75 2.18 2.28 2.23 2.23 0.80 2.21 2.29 2.25 2.25 0.85 2.32 2.30 2.34 2.32 0.90 2.36 2.36 2.39 2.37 0.95 2.48 2.54 2.51 2.51 1.00 2.56 2.52 2.54 2.54 Analysis The graph above tells us that as the distance of the ball bearing from the bottom of the slope increases, the time it takes for the ball to reach the bottom will also increase. However, we can also see that the gradient of the graph changes constantly, indicating that this is a non-linear relationship. At the start of the graph, there is a gradient of 9.6 s m-1, but when the distance is approximately 0.8 m, the gradient becomes significantly less at 1.5 s m-1. As the distance increases, the gradient

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