Heisenberg's principle : The exact position and momentum of a fast moving particle cannot be calculated exactly at the same moment of time.

As per Heisenberg's uncertainty principle,

$∆\mathrm{x}.∆\mathrm{p} = \frac{\mathrm{h}}{4\mathrm{\pi }}$

$∆\mathrm{p}=$Uncertainty in momentum $\left(∆\mathrm{p}=\mathrm{m}∆\mathrm{v}\right)$

$∆\mathrm{v}=$ Uncertainty in velocity

Given, the product of uncertainty in the position and uncertainty in velocity of a particle = $∆\mathrm{x}.∆\mathrm{v}=5.79\times {10}^{-5} {\mathrm{m}}^2{\mathrm{s}}^{-1}$

So, the uncertainty in the measurement of its velocity = $\frac{5.79\times {10}^{-5}}{{10}^{-9}}=5.79\times {10}^4 \mathrm{m}/\mathrm{s}$