Eli5: Is there a variation in physics/speed when a plane breaks the sound barrier and what does it feel/sound like in the cockpit?

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Are there any variations or notable sensations when you break the sound barrier in a plane?

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Basically at slower speeds you are catching up with the sound vibrations created by the surfaces like the wings, that sound is vibration energy so will shake the plane, modern planes are designed to create less sound vibrations so the impact is less but still there. https://youtu.be/uO_n6LY2pVA

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