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## Homework Statement

In a spherical bowl a small ball is jumping around. The ball hits the bowl in two spots and moves in two different trajectories in times T

_{1}, T

_{2}. Find the radius of the bowl.

## Homework Equations

Newton's laws of dynamics.

## The Attempt at a Solution

The only thing I could figure out is how the horizontal velocities of different trajectories are related:

[tex] s=v_{x1}⋅T_1=v_{x2}⋅T_2 ⇒ \frac{v_{x1}}{v_{x2}} = \frac{T_2}{T_1} [/tex]

But I can't find a way to get any expression with the radius. Please help.