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Blasting off from Planet X

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Blasting off from Planet X

An astronaut is in a lander, which is taking off from Planet X.  The lander's thrusters do 12,288,000 Joules of work lifting the lander (at a constant speed) to a height of 1000 meters. 

If the astronaut had bailed out first, the lander could have risen to a height of 1024 meters doing that same amount of work.

If the lander, with astronaut on board) had done the same amount of work accelerating horizontally, it would have reached a speed of 40
3
m
s

What is the acceleration due to gravity on Planet X?

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Problem by Mr. Twitchell

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