Finding g given height & time

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Homework Help Overview

The discussion revolves around calculating the acceleration due to gravity (g) using the height of a fall and the time taken for that fall. The context is a physics lab assignment where the original poster seeks assistance in applying the relevant equations to derive the value of g.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin the calculation. Some participants suggest using the kinematic equation for motion under constant acceleration, while others clarify that the initial velocity is zero for a falling object.

Discussion Status

Participants have provided guidance on the relevant equations to use, and there is an acknowledgment of the original poster's gratitude for the assistance. Multiple interpretations of the problem setup are being explored, particularly regarding the application of the kinematic equations.

Contextual Notes

The original poster mentions specific values for fall time and height, along with their uncertainties, which may influence the calculations and the final result. There is an emphasis on significant figures in the calculations as part of the lab requirements.

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Calculating "g" given height & time

This problem is part of a physics lab. I need this step to finish the other parts of the lab, and I can't figure out how to do this step.

Homework Statement



Using the best estimate and uncertainty for the fall time, calculate the value of "g" with the appropriate number of significant figures.

fall time = 0.4249 +/- 0.0001 seconds
height = 1.002 +/- 0.005 meters


Homework Equations



acceleration = height/(time)^2 (?)


The Attempt at a Solution



I'm not even sure where to start...
 
Last edited:
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Use the formula

d = v1*t + (1/2)at^2

apply this formula to this situation...
 
Since in this problem, the object is "falling" (i.e. not thrown up or down), v1= 0. Put in the given values for d and t and you have a single equation to solve for a (for gravity problems, a= v).
 
Thanks to both of you for your help :)
 

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