How Does Time Relate to Distance in Gravity Experiments?

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SUMMARY

The discussion focuses on the relationship between time (t) and distance (s) in gravity experiments, specifically using the equation s = (1/2)gt². The user provided six time values (0.36s, 0.40s, 0.44s, 0.38s, 0.48s, 0.40s) with a constant distance of s = 0.8m. The graph created using the Autograph tool illustrates this relationship, although the visual representation is not shared in the discussion. The equation g = 2s/t² is also derived, emphasizing the connection between time and gravitational acceleration.

PREREQUISITES
  • Understanding of kinematic equations, specifically s = (1/2)gt²
  • Familiarity with graphing tools, particularly Autograph
  • Basic knowledge of gravitational acceleration (g)
  • Ability to interpret and analyze graphical data
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  • Study the implications of varying time values on gravitational experiments
  • Learn about the derivation and application of kinematic equations
  • Investigate the effects of air resistance on distance and time in gravity experiments
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Homework Statement


Draw a graph showing the relationsip between 2s and t2 (derived from the equation
s=[tex]\frac{1}{2}[/tex]gt2

g=[tex]\frac{2s}{t^2}[/tex]

You are given six different values for t i.e
0.36s
0.40s
0.44s
0.38s
0.48s
0.40s

In all instances the value for s=0.8m

Homework Equations


No restriction


The Attempt at a Solution


I used autograph and my graph looks something like this.
 

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We can't see the graph yet but maybe you could explain what you've done.

The Bob
 

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