# Ratio of speeds

Object $$A$$ is thrown horizontally from a height of $$\overline{OA}=h$$ at a speed of $$v_A.$$ At the same time, object $$B$$ which is $$\overline{OB}=\frac{h}{2}$$ away from $$O$$ on the ground is thrown upward perpendicularly to the ground at a speed of $$v_B.$$ What is the ratio $$\displaystyle{ \frac{v_A}{v_B} }$$ when the two objects $$A$$ and $$B$$ collide?

Gravitational acceleration is $$g= 10$$ m/s$$^2$$.

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