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Physics: How tall is the building?

1. A steel ball bearing is dropped from the roof of a building. An observer standing in front of a window 120 cm high notes that the ball takes 0.125s to fall from the top to the bottom of the window. The ball bearing continues to fall, makes a completely elastic collision with a horizontal sidewalk, and reappears at the bottom of the window 2s after passing it on the way down. How tall is the building?

2. Water drips from the nozzle of a shower onto the floor 200 cm below. The drops fall at regular intervals of time, the first drop striking the floor at the instant the fourth drop begins to fall. Find the location of the drops when a drop strikes the floor.

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This complete solution includes detailed calculations (formatted in the attached Word document), answers and explanation. 8 pages. 492 words.