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Консультация № 202985
13.06.2022, 15:28
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Здравствуйте! У меня возникли сложности с такой задачей:
Автомобиль с включёнными фарами движется со скоростью
v0 перпендикулярно стене. На расстоянии L от стены он делает поворот радиуса R. Как зависит скорость световых пятен от лучей фар от времени движения на повороте? Скорость
автомобиля постоянна.
Я пытался выразить x(t) для пятен, где начало отсчёта - это пятно, образующееся до начала поворота, т.е., когда фары перпендикулярны стене. Дальше продифференцировал и получил v(t), тем не менее ответ с авторским не совпал. Буду благодарен за ответ!
Автомобиль с включёнными фарами движется со скоростью
v0 перпендикулярно стене. На расстоянии L от стены он делает поворот радиуса R. Как зависит скорость световых пятен от лучей фар от времени движения на повороте? Скорость
автомобиля постоянна.
Я пытался выразить x(t) для пятен, где начало отсчёта - это пятно, образующееся до начала поворота, т.е., когда фары перпендикулярны стене. Дальше продифференцировал и получил v(t), тем не менее ответ с авторским не совпал. Буду благодарен за ответ!
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Обсуждение
14.06.2022, 04:19
общий
Адресаты:
Вы не очень постарались описать ход своих мыслей - куда Вы направили координату "x" в своём "x(t)" ? Я могу только догадываться, будто Ваш "x" направлен вниз по рисунку.
Ваше "образующееся до начала поворота" означает, что Вы вычисляли среднюю скорость от начала поворота до какого-то текущего момента. Однако понятие "скорость световых пятен" подразумевает Мгновенную скорость, которую надо вычислять как
Vп = [$916$]x / [$916$]t в пределе, когда [$916$]t [$8594$] 0 .
Надо просто НЕ полениться начертить качественный чертёжик, и тогда физическая картина проясняется. Многие ленятся делать чертёж, тк этот процесс требует некоторого времени. Но это время экономит гораздо бОльшие потери времени, связанные с неудачными попытками Решения, оформлением Вопроса, ожиданием Ответа…
Я прилагаю мой чертёж. Дальше сами справитесь?
Ваше "образующееся до начала поворота" означает, что Вы вычисляли среднюю скорость от начала поворота до какого-то текущего момента. Однако понятие "скорость световых пятен" подразумевает Мгновенную скорость, которую надо вычислять как
Vп = [$916$]x / [$916$]t в пределе, когда [$916$]t [$8594$] 0 .
Надо просто НЕ полениться начертить качественный чертёжик, и тогда физическая картина проясняется. Многие ленятся делать чертёж, тк этот процесс требует некоторого времени. Но это время экономит гораздо бОльшие потери времени, связанные с неудачными попытками Решения, оформлением Вопроса, ожиданием Ответа…
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