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 $3 \times 10^5$ times heavier than the Earth and is at a distance 2.5 $\times 10^4$ times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is $\mathrm{v}_{\mathrm{e}}=11.2 \mathrm{~km} \mathrm{~s}^{-1}$. The minimum initial velocity $\left(\mathrm{v}_{\mathrm{s}}\right)$ 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)