Could you escape earth gravity without going 25000 mph?

I put that question in the google search and came up with this as an answer.  Basically, the answer is yes, but you need to have enough fuel to keep the rocket going up away from the Earth's gravity.

I thought of this question in terms of what everyone thinks about how to get to space.  You got to go really fast.  Maybe not.  What you really need is the ability to overcome gravity long enough to escape the Earth's gravitation.   You can do that by getting your speed up fast enough, or you can do that by continually firing your rocket long enough to escape gravity.  The first is preferred, most likely due to the shortcomings of rockets.