Did you know that when a plane flies the same way the earth rotates it takes longer tiger to its destination than when it flies the other way. Also when shooting at extreme ranges snipers do have to account for the Coriolis effect
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If the Coriolis effect were true, the earth should move under me when I jump
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Drive your car down the road and throw a marble up in the air while moving. The marble doesn't stop in the air immediately, it stays the same speed and falls back down next to the car. Inertia, that answers your question