Let me give you a chance to answer this question yourself with these two yes/no questions: Do you have to adjust your feet in order to stay in one spot for a long time (having to shuffle your feet to put them back in the correct spot as the earth moves under you?)\n\nOr has your house/appartment building ever slid off its foundation beause the earth moved under it?\n\nWhatever answer you choose, yes or no, that's the answer to your question, for the same reasons.
Do objects traveling East to West go any further due to the Earth's rotation?