This problem can apparently be aided with any computer program, but I\'m still u

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This problem can apparently be aided with any computer program, but I'm still unsure about this one:

Suppose a rocket is fired and after its initial burn it is at an altitude of h = 5 km with a velocity of 4 km/s straight up. Since it may reach a significant altitude, it could be too inaccurate to use a constant gravitational force. We will use the Newtonian law of gravity: where h is the height above sea level in kilometers, R = 6378 km, and g = 0.0098 km/s2. Convert this to a system of first-order equations and use a numerical method to find the maximum height of the rocket. Your answer should have two digits of accuracy (within the assumptions of the model). Use of computers is highly encouraged for this problem.

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