Is It Uniform Acceleration?

Assume that Earth is a perfect sphere with radius R.R. The time TT an object takes to fall to the ground from rest from a height of RR above the ground is given by T=Rg(A+πBC),T=\sqrt{\frac Rg}\left(A+\frac {\pi^B}C\right), where A,B,CA,B,C are positive integers.

Find A+B+C.A+B+C.

Note: Consider only gravity, and forget about atmospheric effects, air resistance, etc.

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