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Question:

A proton is traveling with a speed of $(8.660 \pm 0.012) \times 10^5 \textrm{ m/s}$. With what maximum precision can its position be ascertained? [Hint: $\Delta p = m \Delta v$.]

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

$5.3 \times 10^{-11} \textrm{ m}$