...at roughly 21.5% of the Speed of Light these little &%$#*@ can really move. About 18,000 times faster than the Voyager probes. Relativistic dilation effects generally come into play at speeds over 0.1c...
And lets not forget when this nano drone rocket reaches its nearest star destination of Alpha Centauri, it will take 4.3 years for the signal to reach earth telling us that it had arrived. I am assuming this nano %$#@ can send messages, images etc?? If not what is the point?