# Trajectory Problem using Newton's Formulas

1. Sep 12, 2010

### raydred

Hey. I was not sure if I could post this somewhere else, since this has nothing to do with homework or anything like that.

1. The problem statement, all variables and given/known data
In a newtonian world:
Determine the position of object two, being x, z spatial coordinates and y a time one relative to object 1. Object 1 is (0; y; 0). The objects are at d distance of course. The colision of the objects can be ignored. Also "o2" is moving at v m/s in the same directon as the vectour (0;1;0).
For the sake of simplicity I'll give the variables values.

"O1"(0; y; 0)
"02"( 0; 0; 10^10)
d=10^10
"M1"=10^7
"M2"=10^7 (not sure if this matters but oh well...)
v=10^3 m/s

2. Relevant equations
f=[("M1"+"M2")/d^2]*6,67*10^-11
a=f/M

Being:
a(m/s/s)=acceleration
f(N)=force
M(kg)=mass
d(m)=distance
v(m/s)=speed
"M1"(kg)=mass of object one
"M2"(kg)=mass of object two
"O1"=object one
"O2"=object two

3. The attempt at a solution (not)
This problem would require a bit of time for me to solve, because I'd have to come up with some formulas on my own. Everytime I sit down to try this I get distracted. So I hope someone could show me the deduction of the formula that gives the position of "O2". Something like f(y)="O2"(x, y, z)

Thank you

PS:In case I forgot to add some info tell me.