villiami
Nov5-05, 05:42 PM
I basically have a whole lot of inter-related series that I'm trying to simplify. Here are the details (I, g, v, and k are constants; t(n), v(n), etc are not):
t(n) = t(n-1) + I
v(n) = v(n-1) + a(n-1).I
a(n) = -g - k.v(n)^2
@@@@@@@@@@@@@@@@@@
t(0) = 0 [ which sugests t(n) = (n-1).I ]
v(0) = v [v is constant]
a(0) = -g - k.v^2 [v and g are constant]
@@@@@@@@@@@@@@@@@@
I'm simply stumped, so any help would be greatly appriciated.
Thanks for your help
t(n) = t(n-1) + I
v(n) = v(n-1) + a(n-1).I
a(n) = -g - k.v(n)^2
@@@@@@@@@@@@@@@@@@
t(0) = 0 [ which sugests t(n) = (n-1).I ]
v(0) = v [v is constant]
a(0) = -g - k.v^2 [v and g are constant]
@@@@@@@@@@@@@@@@@@
I'm simply stumped, so any help would be greatly appriciated.
Thanks for your help