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The rocket used for Apollo missions to the moon was named the Saturn V (five). Actually the Saturn V is three rockets called 'stages' stacked one on top of the other. The bottom, or first stage is the one that starts for liftoff.

Since just before liftoff the speed is zero, the speed 'at liftoff' is just a tiny bit faster than zero. The speed gets faster and faster as time passes and the rocket moves up.

The Saturn V is a liquid fuel rocket -- that is, it uses liquid fuel. Liquid fuel rockets accelerate (build up speed) slowly. Solid fuel rockets like the two used for liftoff of the Shuttle start fast, something like a bullet.

I'm including a link to a video of several Saturn V launches. The launch of Apollo 11, Neil Armstrong's moon flight is about one minute into the video and Apollo 15 about three minutes. You can see the rocket actually lift off and see how it sort of lumbers into motion -- after all, it weighs six million pounds.

But, once it gets going things pick up. The first stage burns for 2.5 minutes, lifting the rocket to a height of 42 miles and a speed of 6164 mph (almost ten thousand kilometers per hour). At this point the first stage is thrown away and the second stage starts. The second stage burns After the S-IC sequence, the S-II second stage burns for 6 minutes taking it to 109 miles and 15,647 mph (about 25,000 kilometers per hour). The third stage burns for another 2.5 minutes, reaching a speed 17,450 mph before it's fuel is used up.

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