- #1

- 3

- 0

m(d2x/dt2) = (rhoB-rhoA)(g*V) - 0.5(Cd)(rhoA)(A)(dx/dt)^2

Where m = body's mass, rhoA = fluid's density, rhoB = body's density, g = gravity (may be assumed to vary with height -> which is where the "effects of gravity" come in), x = displacement, t = time, Cd = drag coefficient, V = body volume, A = body area.

^

**I found this equation on this forum: https://www.physicsforums.com/threads/gravity-in-water.6463/**

*Some extra information* : For my Paper, im trying to represent a mathematical model for a swimming race dive for both above and in the water. For above the water, I am using a simple height formula "h(t)=1/2at^2+vt+h". But as there are many other factors such as drag and buoyancy underwater, I need to find a coherent formula with the same variable of time for height underwater.

Any help would be really appreciated!! :)