- #1
bigjuicy
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D=Drag Coefficient
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-kv2
dv/dt=g-kv2
dt=dv/g-kv2
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
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-kv2
dv/dt=g-kv2
dt=dv/g-kv2
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