IYPT 2008, Задачи на турнира — Задача 8. Astroblaster

21st IYPT (2008)

Заглавие в източника

Source: Problems for 21st for IYPT, Croatia 2008 (iypt.org, Aug. 8, 2007)
Selected at the IOC meeting in Seoul on July 12—13, 2007; released as Preliminary on July 18, 2007; as final on Aug. 8, 2007
Reference Kit for 2008 (final edition, May 28, 2008) →
Exemplary solutions for 2008 →

Условие

When a large ball is dropped, with a smaller one stacked on top of it, onto a hard surface, the smaller ball will often rise much higher than it would if dropped onto the same surface by itself while the larger ball hardly bounces at all. Investigate this phenomenon and design a multiple-ball system, using up to 4 balls, that will reach the greatest elevation of the top ball.

Решение

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Оригинал в Архива: 2008.txt