As shown above, a black bowling ball is dropped from a hot-air balloon which is ascending straight upwards at a constant speed of \(10\) m/s. The height of the bowling ball at the moment of the drop is \(h,\) and its highest height before it fell on the ground \(3\) seconds after the drop is \(H.\) What is the ratio \(h:H\)?

Gravitational acceleration is \(10 \text{ m/s}^2\) and air resistance is negligible.

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