thrust
Earth has gravity so less fuel is needed to move a rocket in space(assume that you mean escape from earth's gravitational field by"from earth")
A rocket that doesn't reach "escape velocity" will be overcome by gravity and will be pulled back down to Earth. Also, rockets which go into orbit have not reached escape velocity. Escape velocity is what is needed to completely leave earth's gravity well.
According to most sources, the minimum speed needed to escape the Earth's gravity is 11.2km/s, so a rocket would need to travel at least this fast to get into outer space.
the rocket speed required to escape out of the earth's gravity is known as escape velocity which is numerically equal to 11.2 km per sec.
I have heard of a single stage rocket ever being able to escape Earth's gravity.
the moon because it has only one sixth of the gravitational pull that Earth does
That's the initial speed the rocket would need to escape Earth, assuming it starts close to Earth, and no additional impulse is provided later. With a gradual impulse - for example an ion impulse - i.e., providing impulse over time, it isn't necessary to start with this speed. However, the rocket still needs the same total amount of energy to escape from Earth.
Depend hw fast it is
It will get out of Earth's gravitational pull and can no longer be forced back towards Earth.
before nibiru is coming fly by rocket and escape from earth
The rocket leaving Earth has to overcome the Earth's gravitational pull, which is much larger than the Moon's. The "escape velocity" for Earth is nearly 5 times that of the Moon's escape velocity, which is actually about 2.4 kilometers per second. Actually, the details of how spaceflight works are more complicated than that, but the basic idea is correct.
The velocity of a any object to surpass the gravity of earth commonly known as escape velocity is 11.2Km/s.