(NOTE: Richard, I hope you'll move your post to this thread. You were saying Mathis erred saying velocity squared is acceleration?)

I'll try to keep track of questions etc for Mathis here.

RC: [H]is units are usually wrong in nearly every calculation.
- Miles never includes the units in any of his equations [].
- In this article (http://milesmathis.com/accel.html) Miles claims that linear acceleration is equal to the velocity squared.
- [Y]ou can't "dump" units from an equation. But Miles uses this illegal trick all the time.
- This is Miles equation from the article: v_f = v_o + 2v_o²t + av_ot². Notice that the units are mismatched and that he has to "dump" the extra meter dimension in order to resolve the discrepancy [].

CC: Re Mathis: m = l³/t² and "G loses all its dimensions, and force is then L⁴/T⁴ or (V²)²."
- I don't understand how mass is equal to length divided by time.
- Dropping the subscripts and then substituting into other equations is nonsensical.

RC: [T]ry using those same units for density = mass/volume: Density = kg/m³ = m³/(m³*s²) = 1/s². [It] lacks a rational explanation.
- If the velocity is constant, then the acceleration must be zero.
- According to him, the acceleration is the velocity squared. So by his reckoning, the acceleration would 25 m²/s².

CC: If the "context" is an orbit, the distance might be expressed as a function of the radius. But that doesn't turn the tangential velocity into a vector, much less the equilibrium between centripetal and centrifugal forces.
- How do you "combine" tangential velocity with centripetal acceleration by just multiplying them together?
- [I]f I were to mimic Mathis, I'd say that "time squared" is a nonsensical factor. Time is linear — there is no meaningful concept of time as an area or a volume. To fix the "error" we can just drop the time factor down one order, and say that acceleration is distance/time. Then, if that produces incorrect answers, we can just redefine distance, or let acceleration now start acting like a simple velocity, and redefine other stuff.