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Здравствуйте! Прошу помощи в следующем вопросе: Дед Мазай решил переплыть реку на лодке. Скорость течения была большой — 2 м/с. Дед поднапрягся и развил свою скорость до 4 м/с. Ширина реки в этом месте была 60м, и он всё-таки перебрался на другой берег. Как много времени это заняло у Деда?
Доброго... Таки сново Ми... Скорость Деда на воде без течения v1 = 4 м/с. Вода течет параллельно берегу со скоростью v2 = 2 м/с. S = 60 м. ширина реки. Деда нужно направить под углом альфа перпендикулярно реке в направлении противоположной течению, который можно найти так: альфа=arcsin(v2/v1) альфа=arcsin(2/4)=30 гр. При этом скорость Деда относительно Земли можно найти по формуле: v=кв.корень(v1^2 - v2^2 )= кв.корень(4^2 - 2^2 )=3.46 м/с
Необходимое время равно: t = S/v = 60/3.46 = 17.34 с
Доброго.... Да, по правилу прямоугольного треугольника и согласно Вашему ответу будет 15 -> это все верно... Но, Дед будет плыть по углом 30 градусов против течения налегая на весла.... Подумав - логически, ОН потратит больше времени.... Можешь сложить - получишь 14,15 с. ~ 15 c.
По-моему, основная трудность, которую нужно преодолеть при решении этой задачи, -- угадать, под каким углом к направлению течения реки дед Мазай переплывал её на лодке. В мини-форуме консультации Вы сообщили:
Ниже приводится решение, которое даёт нужный Вам ответ.
Дано: м/с -- скорость течения реки; м/с -- скорость лодки относительно воды, или скорость лодки в стоячей воде; м -- ширина реки. Определить: -- время, за которое лодка переправится через реку.
Решение
Предположим, что лодка при переправе ориентирована перпендикулярно направлению течения реки. В этом случае лодка преодолеет расстояние между берегами за (с), причём дрейф лодки (расстояние на которое переместится лодка вдоль берегов реки вместе с водой вниз по течению) составит (м).
Ответ: с.
Если предположить, как это сделал в мини-форуме консультации уважаемый Gluck, что лодка ориентирована под углом к направлению течения реки, то лодка, достигнув противоположного берега реки, преодолеет относительно течения путь, равный (м) за время (с).
Сочувствую, если Вам приходится решать столь плохо сформулированные задачи (сомнительно, например, что пожилой человек может в течение 15 секунд развивать на лодке скорость, равную 4 м/с). Но если Вы вольны в своём выборе, то используйте проверенные временем и хорошо зарекомендовавшие себя сборники задач и учебники по физике.
4
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Facta loquuntur.
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