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Консультация № 196540
02.10.2019, 21:33
0.00 руб.
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1
1
Здравствуйте! Прошу помощи в следующем вопросе:
Два тела движутся вдоль оси х. Их уравнения движения (все величины заданы в СИ):
x1 = -5 + 3t; x2 = 3 – t
1) Нарисуйте графики движения этих тел;
2) Найдите время встречи тел;
3) Определите скорость первого тела относительно второго.
Сделать рисунок.
Два тела движутся вдоль оси х. Их уравнения движения (все величины заданы в СИ):
x1 = -5 + 3t; x2 = 3 – t
1) Нарисуйте графики движения этих тел;
2) Найдите время встречи тел;
3) Определите скорость первого тела относительно второго.
Сделать рисунок.
Обсуждение
04.10.2019, 13:05
общий
это ответ
Здравствуйте, dar777!
Дано : уравнения движения 2х тел вдоль оси X от времени t :
x1(t) = -5 + 3·t м
x2(t) = 3 – t м
Требуемый график движения тел построен в приложении ru.wikipedia.org/wiki/Mathcad . Маткад-скриншот прилагаю.
Во время встречи оба тела будут находиться на одинаковом расстоянии от точки отсчёта.
Приравняем пути для получения момента встречи tв :
-5 + 3·tв = 3 – tв
Искомое время встречи тел tв = 8 / 4 = 2 сек.
Скорости тел находим, как производные их пути по времени
V1(t) = x1(t)' = 3 м/сек , V2(t) = x1(t)' = -1 м/сек
Движение обоих тел - равномерное, их скорости постоянны и не зависят от времени.
Искомая скорость первого тела относительно второго - это разница скоростей V1_2 = V1(t) - V2(t) = 3 - (-1) = 4 м/сек.
Дано : уравнения движения 2х тел вдоль оси X от времени t :
x1(t) = -5 + 3·t м
x2(t) = 3 – t м
Требуемый график движения тел построен в приложении ru.wikipedia.org/wiki/Mathcad . Маткад-скриншот прилагаю.
Во время встречи оба тела будут находиться на одинаковом расстоянии от точки отсчёта.
Приравняем пути для получения момента встречи tв :
-5 + 3·tв = 3 – tв
Искомое время встречи тел tв = 8 / 4 = 2 сек.
Скорости тел находим, как производные их пути по времени
V1(t) = x1(t)' = 3 м/сек , V2(t) = x1(t)' = -1 м/сек
Движение обоих тел - равномерное, их скорости постоянны и не зависят от времени.
Искомая скорость первого тела относительно второго - это разница скоростей V1_2 = V1(t) - V2(t) = 3 - (-1) = 4 м/сек.
5
Это самое лучшее решение!
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