How Accurate is the 1/2gt² Formula for Calculating Drop Height?

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SUMMARY

The discussion centers on the accuracy of the formula 1/2gt² for calculating the drop height of an object, specifically a football. Using the formula with a time measurement of 0.76 seconds, the calculated height is approximately 2.83 meters. Participants highlight the importance of accurate time measurement and note that for a height of around 5 meters, the drop time should exceed one second. The conversation emphasizes the potential for human error in experimental setups.

PREREQUISITES
  • Understanding of kinematic equations, specifically 1/2gt²
  • Basic knowledge of gravitational acceleration (g = 9.8 m/s²)
  • Familiarity with experimental physics and measurement techniques
  • Awareness of factors affecting free fall, such as air resistance
NEXT STEPS
  • Research accurate timing methods for free fall experiments
  • Explore the effects of air resistance on falling objects
  • Learn about kinematic equations and their applications in physics
  • Investigate common sources of error in physics experiments
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Students in introductory physics courses, educators teaching kinematics, and anyone interested in experimental physics and measurement accuracy.

Greiver
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This is one of the questions on my college intro. to physics course lab.

use the shortest time(or shortest average time) to calculate the height of the drop point from the ground, Explain the choice of time to calculate the height of the drop

*object dropped was a football.

1/2gt^2




1/2 (9.8m/s^2)(0.76s)^2
=2.83024m


I don't know if I am headed in the right direction with this problem any input would be appreciated, although I have to point out that logically the height is approximately 5 or so meters could this be a miscalculation ?
 
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That's the correct formula for an object dropped from rest with no air resistance. You probably didn't measure the time correctly...If the height was 5 meters, the time would have to be at least about a second.
 
PhanthomJay said:
That's the correct formula for an object dropped from rest with no air resistance. You probably didn't measure the time correctly...If the height was 5 meters, the time would have to be at least about a second.

looking at the average time for three trials with a football, although in doing the experiment i don't recall taking note of how it was dropped and the possibility for human error in this experiment. Thanks for the reply though it is very much appreciated.
 

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