Calculating Acceleration and Error for a Ball Rolling Down an Inclined Plane

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SUMMARY

The discussion focuses on calculating the acceleration of a ball rolling down an inclined plane using the formula a = 2S/t², where S is the distance and t is the time. The distance covered is 0.95 m with an error of ±0.05 cm, and the time taken is 1.19 s with an error of ±0.01 s. Participants emphasize the importance of including error analysis in the calculations, suggesting methods such as quadrature for error propagation. The correct approach involves squaring the time in the acceleration formula to ensure accurate results.

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  • Proficiency in algebra for manipulating equations
  • Knowledge of measurement uncertainties and their implications
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  • Learn about kinematic equations in physics
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Homework Statement


Calculate the acceleration of a ball rolling down an inclined plane and also note the error.
I am going to solve it myself, so I will just give one sample.
Distance covered by ball(error : +- 0.05 cm)
.95m
Time taken(error : +- 0.01 s)
1.19s
Acceleration(with error)
Have to calculate

Homework Equations



a=2S/t2

The Attempt at a Solution


I tried doing .95/1.19, that's change in velocity upon time, but that doesn't include the errors that way.
Someone please tell me of an easy way to solve this.
 
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Your error analysis will be done separately. It will depend on how your want to analyze your errors (i.e. in quadrature, etc.). You have solved for acceleration (although you missed ^2 on your time). Now solve for the error and your golden!
 

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