Quick question on a simplification of position formula

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SUMMARY

The discussion centers on the simplification of a position formula involving gravitational acceleration (g) and a specific distance of 127 units. The user skurred questions why the term under the square root simplifies to 127 instead of 127 squared. The resolution confirms that the correct simplification leads to the equation v = 127√(g/(2*80.8)), clarifying the relationship between velocity (v), gravitational force, and distance.

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Homework Statement



I'm having issues simplifying the following position formula.

Homework Equations

http://imgur.com/y1tgG.jpg

The Attempt at a Solution



Its probably something really stupid I'm not realizing but i don't understand how under the square root 127 got to be 127 and not 127^2.

Since in the orig problem when you solve for V^2 you'd end up with

V^2= (127^2)(g)/ ((2)(80.8))
[
 
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Welcome to PF!

Hi skurred! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)

Yes, you're right … (g/2)(127/v)2 = 80.8, so v = 127√(g/(2*80.8)) :smile:

(is this from a book? :redface:)
 

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