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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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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.
I used an equation once for calculating the escape velocity of a small planet unique from earth if you want that equation. It's on this calc

 
I used an equation once for calculating the escape velocity of a small planet unique from earth if you want that equation. It's on this calc

I appreciate you greatly contributing to this, why yes the escape velocity is one part, I was wondering what way would you get one’s velocity without any force or weight dragging you down. I guess an example of this is like “a Horse’s top speed is not defined by what they carry on them if they are heavy, they are clearly faster without any baggage.” Kind of thing, you get me?
 
I appreciate you greatly contributing to this, why yes the escape velocity is one part, I was wondering what way would you get one’s velocity without any force or weight dragging you down. I guess an example of this is like “a Horse’s top speed is not defined by what they carry on them if they are heavy, they are clearly faster without any baggage.” Kind of thing, you get me?
If there is no force on an object, holding it down, then theoretically any force would cause them to reach escape velocity. It's the same as pushing something space. Objects in space have mass, but they don't have weight since no gravitational force is pushing them down. Thus they would travel in the direction they were pushed indefinitely.
 
If there is no force on an object, holding it down, then theoretically any force would cause them to reach escape velocity. It's the same as pushing something space. Objects in space have mass, but they don't have weight since no gravitational force is pushing them down. Thus they would travel in the direction they were pushed indefinitely.
Sorry, but if I recall correctly, Escape Velocity is the minimum velocity of an object needed to overcome the pull of that gravity, meaning that the true speed would be greater, I thought something like acceleration would give like the true speed, for example an object moving at 11,200 m/s with the acceleration of earth 9.807 m/s^2 for one second would give the final speed 11,210 m/s or something like that.
 
Sorry, but if I recall correctly, Escape Velocity is the minimum velocity of an object needed to overcome the pull of that gravity, meaning that the true speed would be greater, I thought something like acceleration would give like the true speed, for example an object moving at 11,200 m/s with the acceleration of earth 9.807 m/s^2 for one second would give the final speed 11,210 m/s or something like that.
Okay I think I get what you're saying. Are you basically trying to figure out how long an object would be if it was trying to escape earth's gravity, but it doesn't have gravity affecting it? It would be like launching a rocket from the surface, but all the acceleration purely speeds up the rocket and doesn't need to overcome the force of gravity at all?
 
Okay I think I get what you're saying. Are you basically trying to figure out how long an object would be if it was trying to escape earth's gravity, but it doesn't have gravity affecting it? It would be like launching a rocket from the surface, but all the acceleration purely speeds up the rocket and doesn't need to overcome the force of gravity at all?
Yes, like speed comparison between the pull of gravity and one without that significant gravity.

Similarly (though not in the gravity or real world sense) like how Rock Lee from Naruto could run faster without training weights, in the video below shows a guy capable of running realistically faster aftering doing 2 weeks of leg weight training by 1 second vs normal exercise.
 
Yes, like speed comparison between the pull of gravity and one without that significant gravity.

Similarly (though not in the gravity or real world sense) like how Rock Lee from Naruto could run faster without training weights, in the video below shows a guy capable of running realistically faster aftering doing 2 weeks of leg weight training by 1 second vs normal exercise.

I’ll try and look at some stuff, but this way help you a bit https://en.m.wikipedia.org/wiki/Gravity_loss
 
So after consideration, I think it is best to use Acceleration calc for to find max speed as I found tou can use negative acceleration for deceleration when applying gravity onto an object to slow their movements, and when that deceleration is lifted, it can go back to normal. Or ratio calc for time dilation difference for speed comparison.
 
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