11km/s would be ca. 40000 km/s, in other words earth to moon in 10 secs.
By the way, if the ship is surrounded by fuel, ie. in Jupiter's atmosphere, it could use quite a lot.
However, I did actually mean to type km/s. Earth's escape velocity is, in fact, 11.2 kilometers per second. (Around 25,000 mph)
Oh: To clarify, "Escape velocity" is the speed you need to escape Earth's gravity well entirely, so that you are no longer orbiting the Earth at all; it's about the amount of velocity you need to go on interplanetary missions. If you just want to go to, say, the Moon, then you don't need to go that fast. If you just want to go to low Earth orbit (LEO), then orbital velocity's only around 7 km/s.
But that isn't "peak speed" or anything, that's just ... how fast you have to go to be in low Earth orbit. The International Space Station is traveling at 7.67 km/s right now.