Velocity and acceleration are not independent of one another. The average acceleration is the change in velocity over the time interval and velocity is the change of position over a time interval. The acceleration describes the change in velocity over time. Their correlation can be seen by these two equations: and Results The curved fit line of the Velocity vs. Time graph had a constant slope of 0.1593tm/s/s +/- 0.001696m/s/s. The majority of our data points (2,4,7,8,9, & 10) showed similar values of average acceleration with an uncertainty of +/- of .0175m/s² and change of velocity with an uncertainty of +/- of .0035m/s/s. Summary Galileo’s theory of uniform acceleration was supported by our data. The curved fit line of the Velocity vs. Time graph had a constant slope, indicating that the increase of acceleration was increasing at a constant rate. Also, the majority of our data points showed the same average acceleration and change of velocity at each measured time interval of 0.2 seconds, cementing the concept of uniform acceleration. Some experimental errors at data points 1, 5 & 6 include the motion detector picking up other motions or objects instead of the rolling ball. The value at data point 1 is relatively higher than the others (at 0.299m/s) may be due to the motion detector picking up random intermittent when we first hit collect. Then, as time passes, the detector was able to focus on the rolling ball only.
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