# Paper

Topics: Velocity, Real number, Polynomial Pages: 3 (1501 words) Published: October 29, 2014

Acceleration of a Ball Bearing
on an Inclined Plane

Group 3 Block 3 Annie Nguyen, Cal Malone, Amanda Robotham

Purpose of Lab:
The purpose of this lab is to understand the motion of a ball bearing on an inclined plane through the graphical relationship between displacement and time. The independent variable in this lab was the displacement change of the ball bearing in meters and the dependent variable was the time in seconds. The control variables in the experiment was the ramp angle, the steelie used, the release point, and the gate height. Steelie Ball Trials Raw Data:

Independent Variable Dependent Variable
Trials Displacement Time (seconds)
Cm M T1 T2 Average
1 10 .1 .1872 .1829 .18505
2 20 .2 .3159 .3070 .31145
3 30 .3 .4033 .4059 .4046
4 40 .4 .4987 .4927 .4957
5 50 .5 .5768 .5732 .575
6 60 .6 .6545 .6455 .65
7 70 .7 .7191 .7171 .7181
8 80 .8 .7845 .7823 .7838
9 90 .9 .8369 .8445 .8407

Evaluation of Data: Interpretation of Graphs and Data
The data gathered shows that the displacement of the steelie ball, and the average time it took for the steelie ball to go from the first photogate to the second photogate. The graphical relationships represented by the graphs show that the Velocity vs Time graph was a linear graph. Linear graphs are when Y, which is Velocity, is proportional to the X variable, which in this case is time. Correlation coefficient of the velocity vs. time graph: 0.9815 Slope is the acceleration of this lab. The slope for the steelie are position in meters per seconds as shown by the graph. The velocity vs. time graph had a slope of 1.599 m/s.

Conclusion: Annie Nguyen
The purpose of this lab is to understand the motion of a ball bearing on an inclined plane through the graphical relationship between displacement and time. The graphical relationship between displacement and time was a top opening parabola. We found this relationship by observing our graph and determining that the points lined up to make...