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**r = v / ( 2Ω*sin(λ) )**

where v is the ball's velocity, Ω is Earth's angular velocity, and λ is the terrestrial latitude

So here's what I tried doing:

I know that the Earth's angular velocity is given by Ω = Ω (cosλ,0,sinλ)

In the Northern Hemisphere thus it is given by: Ωsinλ

I think that I need somehow to add Coriolis Force but I'm not sure where or how to start the equation of motion.

Many thanks