Position is the integral of velocity. However, position and velocity have different dimensions. How is this difference consistent with the conclusion that the integration sign is dimensionless?
2026-03-27 12:34:28.1774614868
Theoretical/ Dimensional Analysis Question
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the sign itself is dimensionless, but simply speaking, what you are doing is $$ \int_a^b f(x) dx = \lim_{n \to \infty} \sum_{k=1}^n f(x_k) \delta x_k, $$ where $f$ is velocity and $\delta x_k$ has spatial dimension...