physics
posted by nate .
A rocket is fired straight up through the atmosphere from the South Pole, burning out at an altitude of 208 km when traveling at 5.8 km/s.
(a) What maximum distance from Earth's surface does it travel before falling back to Earth?
I know how to do the work, but i can't get the answer. I need the answer.

Use the energy conservation equation and apply the gravitational potential (newtonian) and then solve for the maximum distance. cheers.