Data Collected Length of tube=127cm ramp distance=91cm Length of tube=127cm ramp distance=91cm Material Trial Distance from table (cm) Marble Trial Distance from table (cm) Shiny 1 65.8 Shiny 1 65.8 2 71.3 2 71.3 3 67.5 3 67.5 4 63.5 4 63.5 5 69.9 5 69.9 Heavy 1 68.3 Heavy 1 68.3 2 65.4 2 65.4 3 60.1 3 60.1 4 70.2 4 70.2 5 69.9 5 69.9 Clear 1 49.6 Marble Mass (g) Clear 1 49.6 2 50.4 Shiny 8.41 Horizontal Vertical 2 50.4 3 58.5 Heavy 14.59 S * .675 m 3 58.5 4 58.7 Clear 3.32 U 0 m/s 4 58.7 5 53.3 V 5 53.3 A 0 m/s/s 9.81 m/s/s Length of tube=122cm ramp distance=86cm T 0.37 s 0.37 s Length of tube=122cm ramp distance=86cm Material Trial Distance from table (cm) Marble Trial Distance from table (cm) Shiny 1 70.2 Shiny 1 70.2 2 68.8 2 68.8 3 68.5 3 68.5 4 75.3 4 75.3 5 66.9 5 66.9 Heavy 1 68.8 Heavy 1 68.8 2 70 2 70 3 70.4 3 70.4 4 67.8 4 67.8 5 66.6 Marble Type Length of Tube ± 0.5(cm) Average Distance Traveled (cm) Uncertainties (cm) 5 66.6 Clear 1 53.1 Shiny 127 67.6 3.9 3.9 Clear 1 53.1 2 57.8 122 69.94 4.2 4.2 2 57.8 3 52.5 117 73.32 3.15 3.15 3 52.5 4 58.8 112 84.64 2.75 2.75 4 58.8 5 52.8 107 89.14 10.45 10.45 5 52.8 Length of tube=117cm ramp distance=81cm Material Trial Distance from table (cm) Length of tube=117cm ramp distance=81cm Shiny 1 76.2 Heavy 127 66.78 5.05 5.05 Marble Trial Distance from table (cm) 2 74.5 122 68.72 1.9 1.9 Shiny 1 76.2 3 71 117 73.66 3.25 3.25 2 74.5 4 75 112 74.8 4.6 4.6 3 71 5 69.9 107 74.12 4.4 4.4 4 75 Heavy 1 72.5 5 69.9 2 71.2 Heavy 1 72.5 3 71.3 Clear 127 54.1 4.55 4.55 2 71.2 4 75.6 122 55 3.15 3.15 3 71.3 5 77.7 117 55.98 6.7 6.7 4 75.6 Clear 1 52 112 57.6 14.05 14.05 5 77.7 2 65.4 107 61.54 9.45 9.45 Clear 1 52 3 55.6 2 65.4 4 54.7 3 55.6 5 52.2 4 54.7 5 52.2 Length of tube=112cm ramp distance=76cm Material Trial Distance from table (cm) Length of tube=112cm ramp distance=76cm Shiny 1 83.4 Marble Trial Distance from table (cm) 2 82.5 Shiny 1 83.4 3 83.5 2 82.5 4 85.8 3 83.5 5 88 4 85.8 Heavy 1 79 5 88 2 75.9 Heavy 1 79 3 72 2 75.9 4 77.3 3 72 5 69.8 4 77.3 Clear 1 69.8 5 69.8 2 41.7 Clear 1 69.8 3 58.2 2 41.7 4 57.3 3 58.2 5 61 4 57.3 Length of tube=107cm ramp distance=71cm 5 61 Material Trial Distance from table (cm) Shiny 1 91.6 Length of tube=107cm ramp distance=71cm 2 75.5 Marble Trial Distance from table (cm) 3 87.4 Shiny 1 91.6 4 96.4 2 75.5 5 94.8 3 87.4 Heavy 1 72 4 96.4 2 77.3 5 94.8 3 70.1 Heavy 1 72 4 78.9 2 77.3 5 72.3 3 70.1 Clear 1 54.5 4 78.9 2 70.2 5 72.3 3 67.9 Clear 1 54.5 4 51.3 2 70.2 5 63.8 3 67.9 4 51.3 5 63.8