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Yes, I am sure that a mile is long enough to be affected by temperature. Heat dissipation is very much an issue in a race that lasts over three minutes.
Have you ever run a mile on a hot day? What happens to your body temperature when you run? How many mile world records have been run in hot weather? The answers: I have run a mile on a hot day. It is harder. Your body temperature rises. You can stand around after a race for quite a while before cooling down. No mile world records, at least under 4, have been run in the 90s. Jim Ryun's 3:33.1 1500m world record was run in the mid 90s and no shade.