Help rearranging P/v - [ (0.5 * C * A * v^2) + (fr * m * g * cos (a)) + (m * g * sin(

[keml]

Hi I have this f=ma equation for bicycles that I want to rearrange for v, but I can't figure out how to do it.

P/v - [ (0.5 * C * A * v^2) + (fr * m * g * cos (a)) + (m * g * sin(a)) ] = 0

I'm not sure how to consolidate those two v's?

 

[Paul Belino]

Use substitution to make it easier.
So P/v - [Av^2 + B + C] = 0
*v throughout (assuming v is NOT equal to 0)
P - Av^3 - v * (B+C) = 0
Let B + C = D

Then we get Av^3 + vD - P = 0

If you want to go further you would have to look at solving cubic equations ?