Lab 1 Motion in One Dimension Part 2

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Temple University *

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1021

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Mathematics

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Apr 3, 2024

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Lab 1 Motion in One Dimension Part 2 Group Members: Joe Vlassakis, Amir Crump Goal: The goal for part 2 was to find the change in acceleration and velocity when the PASCO smart cart moves down a ramp Procedure: For part 2, using Capstone the position, velocity, and acceleration were collected by using a smart cart that would automatically record the data into Capstone. The cart was put at the top of a ramp and then let go. After the data came in only the upward trend in the graph was used to determine the acceleration of the cart. Error and Precautions: For part 2, the ramp height could have changed the results or even instead of letting go of the cart the cart could have been pushed thus changing the velocity or even the smart cart being not 100% accurate either giving not fully precise information. Lastly, things on the ramp that could have possibly slowed down the cart on its descent Results:
Questions: Question 8: Compare the trends In The Data in your three plots. In which of the plots, position, velocity, or Acceleration, does the value increase linearly with time? In which, if any, is the trend Nonlinear? Did any of the Plots show a constant value over time? The values do increase linearly in the Velocity plot but they do not increase in our Acceleration and Position plot. The Acceleration plot showed a constant value over time. Question 9: How does one obtain the acceleration value from the linear fit of a graph of velocity vs time? You take the slope of the line because slope equals the acceleration and use that to discover the m/s each graph displays. Question 10: How are the instantaneous acceleration values similar or different to the single acceleration value obtained from The best-fit line? The values of the instantaneous acceleration and the single acceleration are very similar and the difference is roughly ~1%. This is the case because the cart we used was constantly moving at the same speed during each trial every time.
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Discussion: For part 2 we raised the track to increase the speed at which the cart moved and we discovered that the position slope increased as it was 1.47+/- 0.034, The surprising result was that the velocity stayed nearly constant but that number changed on the steepness of the slope, the velocity was .997+/-.0047, The last thing we discovered was the acceleration caused by the height of the slope was .0429+/-.0073 which tells us that it was a significant amount of height change was there and that affected the velocity of the cart by ~.5.