Story from childhood: can't remember title

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I hope someone can help me. As a child I once read this short story about a society where physical activity is discouraged and everyone is completely dependent on technology and lives in some kind of individual underground bunkers. Physical contact is also frowned upon and there was a passage about this woman, probably the mother of the main character but I'm not sure and time isn't helping me, who was once traveling on a flying shuttle. The shuttle made an abrupt stop and the woman lost her footing. Before she could fall down one of the flight attendants reached out her hand and grabbed the woman so that she won't fall. As a result though the woman was very angry and berated the flight attendant for daring to touch her. We then find out that even if she had fallen, the floor had some technology in it that would prevent people from getting hurt by altering gravity.

I know this is a very vague request but it's the only passage I remember and I'd really love to read that story again now as an adult. My guess is that it was probably an Asimov short story but I really can't remember much else.