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Total Speed with Escape Velocity?

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I was wondering, Is there a way to get the total speed of an object escaping the gravitational pull of an object? Meaning Would the velocity of a person be faster if they were unconstrained by the pull of a strong gravity well?

Would the speed be even greater if the gravity field expands too?

I tried a method of finding the speed of the Escape Velocity (99.2% speed of light), then finding the time dilation between both points (.23 seconds for stationary and .0289 seconds for in motion), which I would then use the ratio comparing to relative time (.23 seconds) to get 7.89xSoL.
 
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