- #1

bigjuicy

- 4

- 0

p=Density of air

A=Cross sectional area

v=velocity

a=acceleration

F= force

F air=(DpAv^2)/2

F net=mg-F air

ma=mg-F Air

a=g-(DpAv^2)/2m

k=DpA/2m

so

a=g-kv

^{2}

dv/dt=g-kv

^{2}

dt=dv/g-kv

^{2}

using the online integrator from wolfram we got

t=tanh

^{-1}(sqrt(k)v/sqrt(g))/sqrt(gk)

we want to solve for distance fallen without t or v in the equation