## Equation of parabola with two circle given

Geometric formulae, word problems, theorems and proofs, etc.

### Equation of parabola with two circle given

Helo!

I have 2 circle knowing their radius(rb, and ra) and their origin(both in (0,0)).
I know that the parabola's axis is paralell with axis y, and concave.

I need to determine the equation of the parabola. If the 2 circle is not enought, you can use more.

olomhuszar

Posts: 2
Joined: Mon Dec 02, 2013 11:36 am

### Re: Equation of parabola with two circle given

If you don't know the pts where the circles cross the parabola I don't see how you can find the eqn of the parab. Any parab thru the origin is going to cross both circles so there's infinite answers w/o more info.

Posts: 68
Joined: Sun Feb 22, 2009 11:12 pm

### Re: Equation of parabola with two circle given

The problem is originated from a freefall.
So the only plus information could be that it has the same velocity on the X axis, and the velocity changes according to the gravity g on the axis y.
I can only measure the distance of the object, and I know the sampling time, but I don't know the throw angle.
olomhuszar

Posts: 2
Joined: Mon Dec 02, 2013 11:36 am