A rocket, launched from the Earth, shuts off its engines when its speed is 5.10 km/s. It reaches a maximum altitude of 2600 km before it falls back to Earth. At what altitude did the rocket's engines...

A rocket, launched from the Earth, shuts off its engines when its speed is 5.10 km/s. It reaches a maximum altitude of 2600 km before it falls back to Earth. At what altitude did the rocket's engines shut off? The mass and radius of the Earth are 5.97 10²⁴
kg and 6.37 10⁶
m, respectively.  M