# Free Fall

Classical Mechanics Level 2

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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