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It is affected because the fly is traveling at the same speed as the car and the air inside of it. When you are in the same predicament, like flying on an airplane, you can get up and walk around without being affected by the fast flowing air outside. The same situation occurs for the fly in a moving car as long as the speed is steady. When the speed changes, then the air inside and the fly in it will be affected, but only a small amount because the air is light.

The air in the car is moving with the car; it is not stationary with respect to the road. It may feel quite windy to you, if stuck your head out of the window, you would have difficulty breathing in the blast of wind. In the car both you and the fly are greatly protected from the wind even with an open cabin.

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Q: How can a fly fly around a moving car and not be affected by the speed at which the car is traveling?
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