At each height we placed the can at the 1 meter mark, and let go of the can while timing it until it hit the table. We repeated this step 6 times at each height. We took the average time of each height, then squared it, then divided the distance by the squared time, and divided the height by the length. Lastly we divide the distance by squared time by the height by length. For height 1, (2.44 + 1.85 + 1.78 + 2.11 + 2.44 + 2.31)s/6 = 2.16s, (2.16s)2 = 4.67, 1m/4.67s2 = .214m/s2, .1m/1m = .1, (.214m/s2)/.1 = 2.14m/s2. For height 2, (1.59+2.04+2.06+1.9+1.91+1.71)s/6 = 1.87s, (1.87s)2 = 3.5s2, 1m/3.5s2 = .286m/s2, .15m/1m = .15, (.286m/s2)/.15 = 1.90m/s2. For height 3, (1.58+1.39+1.52+1.39+1.45+1.45)s/6 = 1.46s, (1.46s)2 = 2.13s2. 1m/2.13s2 = .469m/s2, .2m/1m = .2, (.496m/s2/.2) = 2.35m/s2. For height 4, (1.2+1.32+1.26+1.26+1.19+1.26)s/6 = 1.25s, (1.25s)2 = 1.56s2, 1m/1.56s2 = .641m/s2, .25m/1m = .25, (.641m/s2)/.25 = 2.56m/s2.
Table 2A
L = 1m d=1.0m
Acceleration of the Can on the Incline Plane at Different Heights h(m) T1 (s) T2 (s) T3 (s) T4 (s) T5 (s) T6 (s) TAvg(s) T¬2 (s2) d/t2 h/L
.1 2.44 1.85 1.78 2.11 2.44 2.31 2.16 4.67 .214 .1
.15 1.59 2.04 2.06 1.9 1.91 1.71 1.87 3.5 .286 .15
.2 1.58 1.39 1.52 1.39 1.45 1.45 1.46 2.13 .469 .2
.25 1.2 1.32 1.26 1.26 1.19 1.26 1.25 1.56 .641