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the space craft can go as slow as .01 mph as long as its self propelled and can maintain that speed. escape gravity only applies if you are going to run out of fuel and need to be travelling at X km/h to achieve orbit.
BUT according to quantum physics, everything in the universe exerts a gravitational pull on every other thing in the universe - it just gets really really small when you get far away. but it's still there.
So assuming the question really is "What is the escape velocity of a space shuttle from the sun's gravitational field from Earth's orbit, ignoring Earth's gravitational field"
Then it's (6.67E-11 * 2E6 * 2E30 )/1.5E11
=1.78E15 m/s
also 617.5 km/s escapes velocity - that's only to outbalance the pull from the sun, not to completely escape its effects, technically you'd never be able to travel to a place where you couldn't measure any pull from the sun's mass, if you had good enough measuring equipment
I mean, gravity is weak as shit, compared to other forces. If you have enough fuel to propel the craft at any positive velocity, you will EVENTUALLY get away from the gravitational pull of the sun.
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