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Your grandma might be a physicist, and she'll explain it to you ;)

Unit of weight in terms of time and length? It's the unit of mass in terms of action (time and energy). It's very easy to explain https://ichef.bbci.co.uk/news/624/cpsprodpb/AE6A/production/...

Unit of mass.

The unit of length is also defined in terms of the unit of time (distance travelled by light in a specific interval of time) ;)

Weight is mass times acceleration. Now explain that.

Weight is a measurement of force. Mass isn't.

More accurately, force is a unit of mass and acceleration.

Or to me. So I guess a weight = some number of square meters per second. I'm trying to think of a intuitive idea why it should be thus.

It's actually the unit of mass in terms of action (time and energy). You can think of it as "how much of something is required to balance a scale where I'm pulling this much" https://ichef.bbci.co.uk/news/624/cpsprodpb/AE6A/production/...