JEE Advanced 2017 Paper 2

A rocket is launched normal to the surface of the Earth, away from the Sun, along the line joining the Sun and the Earth. The Sun is 3×105 times heavier than the Earth and is at a distance 2.5×104 times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is vc=11.2kms−1.The minimum initial velocity (vs) required for the rocket to be able to leave the Sun-Earth system is closest to
(Ignore the rotation and revolution of the Earth and the presence of any other planet)