A bomb is designed to explode $2\mathrm{.}00$ s after it is armed.$$ The bomb is launched from earth and accelerated to an unknown final speed.$$ After reaching its final speed, however, the bomb is observed by people on earth to explode $2\mathrm{.}90$ s after it is armed.$$ What is the final speed of the bomb just before it explodes?

A$)0\mathrm{.}492$c

B$)0\mathrm{.}524$c

C$)0\mathrm{.}611$c

D$)0\mathrm{.}739$c

E$)0\mathrm{.}882$c