physics

Stones are thrown horizontally with the same velocity from the tops of two different buildings. One stone lands twice as far from the base of the building from which it was thrown as does the other stone. Find the ratio of the height of the taller building to the height of the shorter building.

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  1. The fall time of the stone that travels twice as far is twice as long.

    Building height is proportional to the SQUARE of the fall time.

    The taller building is therefore four times taller than the short one.

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