>>11801866>At what velocity they came back to earth?Many kilometers per second.
>How did they attain it?By pretty much falling from the moon.
>Did they have that much fuel left?By the time they were heading back to Earth? Very little.
>How were they able to dock with the hovering ship when it was time to get back?First, the command module wasn't hovering, it was orbiting the moon. Second, the orbit of the command module was known and thus all the ascent module had to do was match that orbit.
>wat it all manual?Computers did a fair amount of work, but the fine tuning of the approach was done manually.
I encourage you to watch the Apollo 11 documentary. It gives a good explanation on how things were done for the moon landings.