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How fast does a spaceship travel in Earth's orbit and is there a sense of speed? The international space station (taken as an example) orbits earth once every 92 minutes and travels at over 17,000 mph relative to the earths surface.
I will discuss both separately. The space shuttle does have a maximum speed of 17,500 mph, but that speed is relative to the Earth. If you think about the space shuttle's velocity relative to the Sun, then the answer is the sum of Earth's velocity plus that of the shuttle. This means that the shuttle is moving at 67,000 + 17,500 mph (84,500 mph). So the space shuttle actually does move faster than the Earth. However, the shuttle speed is actually irrelevant to your question, because the shuttle never truly leaves Earth's gravity.