When exploring a small planet with a radius of$394$ km$$and a mass of$1\mathrm{.}231020$kg$,$ a small spacecraft with a mass of$2120$ kg$$is placed in an elliptical orbit around it$.$ When the spacecraft is at a distance of$1010$ km$$from the center of mass of the small planet, it has an orbital speed of$411$ m$/$s$.$ What is the orbital speed, in meters per second, when the spacecraft is at a distance of$8990$ km$$from the small planet?

Hint:$$ This is a conservation of energy problem.$$ E$=$constant.$$ You will need to calculate both potential and kinetic energy for each case.

Group of answer choices

$232\mathrm{.}7$ m$/$s

$634\mathrm{.}8$ m$/$s

$191\mathrm{.}5$ m$/$s

$393\mathrm{.}1$ m$/$s