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To actually calculate the max speed for an object to break Earth's gravitational field (which all objects going to the moon had to do), you would integrate (yes, calculus) for the terminal velocity of an object at infinity from the Earth to the ground. You assume only potential energy at infinity, then assume only kinetic energy at time = zero. I haven't done this since college, so I'll just start with the equation you have to integrate Potential energy = G*m1*m2/r**2, where G is "big G, not little g. Then kinetic energy is 1/2mv**2. I that is where you start.

Either way it works out to be about 7 miles/sec, or roughly 24-25,000 miles per hour. That is the maximum velocity you would have to attain, and the world record for a human is just about that...set on one of the Apollo missions.

But their actual speeds varied. Once they were in Earth orbit they slowed, and slowed even more as they approached the moon. If they were going to fast approaching the moon, the moon's gravity would not have captured it.

Shortly after launch the vehicle was travelling about 34k ft/sec, or 23,000mph.

22,000 miles from Earth (close to geostationary orbit altitude), speed 12,000ft/sec 8000 mph.

Speeds were much slower for moon orbit.

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11y ago

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