if you pulled two g's going straight up?

Question

and maintained those two g's constantly, would you reach escape velocity before it was too late to actually escape the earth's gravity?

Answer 1

Escape speed from the surface of the earth is 11.18 km/s - pretty fast. Now at two g's it takes

t = v/(2*g)= (11.18 x 10^3)/(2*9.8) = 570 seconds to reach escape speed and you travel:

x = 1/2*(2g)*t^2 = 3.18 km which is still in the atmosphere.

If you stopped acceleration at that time, you'd escape the pull of earth - if you didn't burn up from air friction first!

Answer 2

actually by saying you are maintaining the 2g, you are going to escape eventually no matter what your velocity is at any given time.
the point of escape velocity is that currently space craft can only burn the rockets for a limited time. if you are going 17000 mph when you cut of the engine then you will start to slow down due to gravity, but have enough momentum to not slow down to the point of coming back down.
so the question if would you reach escape velocity would have to have some restriction on the time period which you maintain 2g.

Answer 3

That means you have an acceleration force equivalent of 1g on you... so you're accelerating at 10 m/s(squared) upwards.