Solving Velocity After Falling 268 Feet

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To calculate the velocity of a person falling from 268 feet, the formula vf^2 = vi^2 + 2*a*d is used, with initial velocity (vi) set to zero and acceleration (a) as 9.81 m/s². The calculation shows vf^2 = 1765.8 m²/s², leading to a final velocity (vf) of 42 m/s, which converts to approximately 93.9 mph using a factor of 2.24. However, there are noted discrepancies in unit conversions, as 90 meters is inaccurately equated to 268 feet. For accurate calculations in US Customary Units, the gravitational acceleration should be approximated to 32.19 ft/s². The method used is correct, but attention to unit conversions is essential for precise results.
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Homework Statement



Trying to figure how fast you would be falling after 268 feet? not worrying about resistance and in terms of weight just and average person... this is what I did.. is it correct? or way off


vf^2 = vi^2 + 2*a*d
vf^2 = 0 + 2* 9.81 * 90
vf^2 = 1765.8m^2/s^2
take square root
vf = 42 m/s then convert to mph multiply by 2.24? 93.9mph

Homework Equations



vf^2 = vi^2 + 2*a*d
vf^2 = 0 + 2* 9.81 * 90
vf^2 = 1765.8m^2/s^2
take square root
vf = 42 m/s then convert to mph multiply by 2.24? 93.9mph

The Attempt at a Solution


vf^2 = vi^2 + 2*a*d
vf^2 = 0 + 2* 9.81 * 90
vf^2 = 1765.8m^2/s^2
take square root
vf = 42 m/s then convert to mph multiply by 2.24? 93.9mph
 
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That's the correct method. Some of your conversion factors seem to have small errors

90 m ≈ 295.3 ft and 268 ft ≈ 81.69 ft.

etc.

If you want to do it all in US Customary Units, g = 9.81 m/s2 ≈ 32.19 ft/s2.
and
60 mph = 88 ft/s
 
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