An astronaut on Mars $($mass $6\mathrm{.}421023$kg$6\mathrm{.}421023$kg$,$ radius $3\mathrm{.}39106$m$3\mathrm{.}39106$m$)$ launches a probe straight upward from the surface at $3\mathrm{.}00103$m$/$s$3\mathrm{.}00103$m$/$s$.$ What is the maximum height above the surface that the probe reaches? Neglect air resistance and the gravitational pull of the two small moons of Mars.

Express your answer with the appropriate units.

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