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a=g-kv^2

da/dt=-k dv^2/dt

since dv^2/dt=2vdv/dt;

da/dt=-2vkdv/dt

da=-2vkdv

and

a=dv/dt

dv=adt inserting;

da=-2vkadt

trying to incorporate some indexes; (bear with me, first prog. algorithm :)

a_(n+1)-a_n=-2vka_n Δt

a_(n+1)=a_n-2vka_n Δt

Is this all wrong ?