In the year $4,123,456$ BC the alien garbage scow $$Titanic$$ was in the middle of a

routine flunging of its Higgs field redonculator, when the isopalavial interface became

inoperable and therefore $($obviously$)$ a reduction in mass was needed to continue with

their mission.

$$ At the time they were traveling towards a junk planet called $$Dirt$$ at a speed of

$2\mathrm{.}780$x$108$ m$/$s$.$

$$ The fearless Kepten Kurk saved the day by launching $($at $1\mathrm{.}800$x$108$ m$/$s$)$ the contents of

all the space toilets at the planet into which they were about to crash.

$$ At what speed $($b value$)$ did the mutated sludge beings that had evolved on the planet

$$Dirt$$ see the prodigious pile$-$o$-$poo preparing to pulverize them?