Can I Use Calculus to Explore the Results of My Bouncing Ball Experiment?

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SUMMARY

The discussion centers on the application of calculus to analyze the results of a bouncing ball experiment conducted by a college student in the UK. The student recorded bounce heights from various drop heights and established a linear relationship represented by the equation y=mx+c, allowing for predictions of bounce height based on initial height. The student seeks further exploration of the data, specifically regarding the implications of Newton's Laws and the potential and kinetic energies of the ball at each bounce.

PREREQUISITES
  • Understanding of linear equations (y=mx+c)
  • Basic knowledge of calculus concepts
  • Familiarity with Newton's Laws of Motion
  • Concepts of potential and kinetic energy in physics
NEXT STEPS
  • Explore the application of calculus in analyzing motion using derivatives
  • Investigate the relationship between energy conservation and bounce height
  • Learn about the implications of Newton's Third Law in practical experiments
  • Conduct a detailed analysis of potential and kinetic energy transformations during the bounces
USEFUL FOR

Students studying physics, particularly those in A-Level courses, educators looking for practical applications of calculus, and anyone interested in experimental analysis of motion and energy concepts.

iamBevan
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Hi guys - recently in college we have done an experiment where we drop a ball from 10 different heights, and recorded the bounce height. Obviously all the results were tabulated, and then a graph produced. It turns out that the graph is linear, and I have worked out y=mx+c, so am able to predict the bounce height with just the initial height.

I was just wondering if there is anything else I can explore from the results, other than just predicting the bounce height? Is there anything I can do that would test my calculus?

(I'm living in the UK, so when I say college I mean A-Levels)

Thanks!

P.S. Also I am wondering how this fits in with Newton's Laws. I'm guessing his Third Law has particular relevance here?
 
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Sorry, not sure how to delete this post - I have reposted in the homework section...
 
How about the Potential and Kinetic energies (if you haven't done that already) of the ball at every bounce?
 

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