Physics Problem: Vasya 1

 Вася сидит и занимается ерундой- ставит карандаш, как ему кажется, вертикально и засекает время падения. Среднее арифметическое время получается t1.

Робот Коля сидит в маршрутке (в Мухосранске, то яма, то канава и т. д.) и ставит карандаш строго вертикально, и тоже засекает время падения и получает среднее t2.

Если посадить Васю в маршрутку, какое среднее время у него получится?

Решение с упрощениями и преположениями.

Предположим, что время падения карандаша Т зависит от параметра Х - случайного начального отклонения от строго вертикального как Т = к / Х.

Тогда для Васи: Т₁ = к / X₁

Для маршрутки: Т₂  =  к / X₂

Если Вася едит на маршрутке, то предположим параметры "Х" Васи и маршрутки складываются X₃ =  X₁ + X₂.

Время падения карандаша в маршрутке: Т₃ = к / X₃ = к / (X₁ + X₂) = 1 / (X₁ / к + X₂ / к) = 1 / (1 / Т₁ + 1 / Т₂). 

Или получается как в формуле  параллельных сопротивлений: 1 / Т₃ = 1 / Т₁ + 1 / Т₂

Хотя, возможно X₃²  =  X₁²  + X₂² тогда 1 /Т₃²  =   1 /Т₁² + 1/Т₂²

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