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For a projectile motion, $\displaystyle t=\sqrt{\frac{2y_0}{g}}$.

If you look at page 6 of the article(http://www.hep.vanderbilt.edu/~maguirc/Physics231/p231_lect3.pdf), the fractional uncertainty/relative uncertainty was calculated by $\displaystyle \frac{\sigma_t}{t}=\frac{1}{2}(\frac{\sigma_{y_0}}{y_0})$.

However, at page 8 of the article, the usual calculus to calculate absolute uncertainty: $\displaystyle \sigma_t=\frac{1}{2}(\frac{\sigma_{y_0}}{y_0g})$.

These two results does not agree with eath other, (Notice: $\displaystyle \sigma_{relative}=\frac{\sigma_{absolute}}{value}$).

What went wrong? which was the correct form of uncertainty? and why?

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