IOM 2019, Блиц — Задача 59

OLYMPIAD OF METROPOLISES, Moscow, September 2, 2019 · 2 септември 2019 г.

Условие

Two stones are thrown with equal speeds at different angles to horizontal, $\alpha_1 = 60^{\circ}$ and $\alpha_2 = 30^{\circ}$. What is the ratio of their maximum heights, $h_1 : h_2$?

The answer should be given in the SI units unless otherwise stated. If the numerical result turns out to be an integer, it should be given as the answer. Otherwise round the result to the first decimal. $g = 10\ \mathrm{m/s^2}$.

Решение

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Оригинал в Архива: blitz-en-all-task-final.pdf