2)a)
The aeroplanes position must equal to the projectiles position for it to collide.
therefore.. planes x position = projectiles x position
(edit: forgot to change the UNITS)
400 km / hr = 400 000 / 3600 = 111.11 m/s
hence: 111.11 t = 1000 t cos A
cancel out t
111.11/1000 =...
Bah... misprint methinks, in the answers they have the RHS = 1/2!(x+1)(x+2)...(x+n) instead.. also this is supposedly have some elements of binomial theorem in it... :mad1:
Hmm.. theres this difficult induction question im trying to get my head around
Prove:
1 + x/1! + 1/2!x(x+1)+...+1/n!x(x+1)(x+2)...(x+n-1) = 1/n!x(x+1)(x+2)...(x+n)
any ideas?