BALL DROP EXPERIMENT: calculation of the magnitude of G

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SUMMARY

The discussion centers on calculating the acceleration due to gravity (g) using a plotted graph of distance versus time squared from a ball drop experiment. The slope of the graph, derived from the equation change in y = -1/2g(t)^2, is critical for determining the value of g. Participants clarify that the slope represents -1/2g, and since the initial velocity (u) is zero, the equation simplifies to y = -1/2gt^2. Understanding this relationship is essential for accurate calculations in physics experiments involving free fall.

PREREQUISITES
  • Understanding of basic physics concepts such as acceleration and free fall
  • Familiarity with graphing techniques and slope calculation
  • Knowledge of kinematic equations, specifically y = ut - (1/2)gt^2
  • Ability to perform basic algebraic manipulations
NEXT STEPS
  • Study the derivation of kinematic equations in physics
  • Learn how to calculate the slope of a graph and its significance in physics
  • Explore experiments related to gravitational acceleration and free fall
  • Investigate the impact of air resistance on falling objects
USEFUL FOR

Students conducting physics experiments, educators teaching kinematics, and anyone interested in understanding the principles of gravity and motion.

Brittbrit22
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I plotted the distance in cm ( y2-y1) versus the average change in time squared. (This had to be done by hand...) Then I had to find the slope and the y-intercept. Then I was asked to, " ... From your slope, find the magnitude of the acceleration due to gravity (g)" ...


I am really confused as to where am I supposed to plug the value of the SLOPE in this equation:

change in y=-1/2g(t)^2 >>>> yf-yi=-1/2g(t2-t1)^2

I also don't understand why I wrote down y=mx+o -- something about velocity being zero

I know it's really simple but for some reason I am just not getting it.

This isn't really homework, it's a lab calculation. I apologize if this question classifies as a
"homework question"
 
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You already have the value of slope its -1/2g=m
so, what's the problem? The equation follows from ##y=ut -(1/2)gt^2## and u's zero.
 

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