this is for holding javascript data
alex edited untitled.tex
about 8 years ago
Commit id: 5b6cb15ee2760badd1ccd90c6ef13296132c24e4
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&= 152.8 \pm 0.3 \text{cm}
\end{align*}
}
\item{Multiply values to find
distance, add distance. Again, by assuming that errors are distributed normally, we will take the square-root of the sum of the squared relative
uncertainties, uncertainties. We then multiply
the relative uncertainty by distance to get absolute uncertainty.
\begin{align*}
\text{Distance} &= v\times t = 50\times1.2 = 60\\
\delta(\text{Distance})
&=D(\frac{\delta v}{v}+\frac{\delta t}{t}) &=D\sqrt{\frac{\delta v^2}{v^2}+\frac{\delta t^2}{t^2}} =
D(\frac{3}{50}+\frac{0.1}{1.2})\\ D\sqrt{\frac{3^2}{50^2}+\frac{0.1^2}{1.2^2}}\\
&=
60(\frac{3.6+5}{60})= 8.6\\ 60\sqrt{\frac{12.96+25}{3600}}= 6.16\\
\text{Therefore, Distance} &=
60\pm9 60\pm6 \text{km}
\end{align*}
}
\item{There are a few steps to this.