In lecture no. 1 (Units, Dimensions, and Scaling Arguments) Professor Lewin does a dimensional analysis in which he insists that, if there is only time (t) on one side of the equation, you can’t have length (L), mass (M), or acceleration (g) on the right side. He states this as an axiom. Yet, he eventually derives the equation t = C (h/g)^-2. In that equation, time (t) is on one side, and length (h) and acceleration (g) are on the other. There is no height/distance on the left side of the equation, so how can there be height and acceleration on the right?

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