A rocket is launched from the far side of Ganymede, the largest of Jupiter's moons as drawn to the right. The radius of Ganymede is 2. 64×10⁶m and its mass is 1. 495×10²3 kg. The mass of Jupiter is 1. 90×10²7kg and the distance between the center of Jupiter and the center of Ganymede is 1. 071×10⁹m.
a) Calculate the escape velocity of the rocket if you ignore the influence of Jupiter's gravity.
b) Calculate the escape velocity of the rocket if you include the influence of Jupiter's gravity.

You can ignore the motion of Ganymede and Jupiter in your work.