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Acoustics is the interdisciplinary science that deals with the study of all mechanical waves in gases, liquids, and solids including vibration, sound, ultrasound and infrasound. Applications of acoustics are for instance the audio and noise control industries.
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Does it take longer for low-frequency sounds to reach a listener?
I think that you are forgeting that a higher frequency would also make the particles go back faster, with the movement of the speaker's membrane. Sound is a wave, and is the wave propagation velocity …