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Консультация № 199533
06.11.2020, 11:21
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Здравствуйте, уважаемые эксперты! Прошу срочно помогите решить задачу
Частица начала своё движение из точки с радиусом-вектором r(0)→= C*i→ со скоростью, которая зависит от времени по закону v(t)→ = i→∙A(t/τ) + j→*B(t/τ)2, где A, B, С – постоянные величины, i−, j− – единичные орты в декартовой системе координат. На какое расстояние от начала координат удалится частица в момент времени t = 1 с, если τ = 1 с. А = 3 м/c, В = 4 м/c, С=5 м.
Варианты ответа: Не важны.
Подскажите пожалуйста как решать. Данные подставлю сама.
Спасибо огромное
Частица начала своё движение из точки с радиусом-вектором r(0)→= C*i→ со скоростью, которая зависит от времени по закону v(t)→ = i→∙A(t/τ) + j→*B(t/τ)2, где A, B, С – постоянные величины, i−, j− – единичные орты в декартовой системе координат. На какое расстояние от начала координат удалится частица в момент времени t = 1 с, если τ = 1 с. А = 3 м/c, В = 4 м/c, С=5 м.
Варианты ответа: Не важны.
Подскажите пожалуйста как решать. Данные подставлю сама.
Спасибо огромное
Обсуждение
08.11.2020, 09:17
общий
Адресаты:
Вы спрашивали "как решать" - начертить плоскость xOy на черновике , сопоставить i- и j-орты осям x и y . И решать 2 простых движения по 2м независимым координатам .
В библиотеке Портала rfpro.ru Вы можете найти много решений задач, похожих на Вашу. Например :
rfpro.ru/question/198337 ссылка ;
rfpro.ru/question/198279 ;
rfpro.ru/question/198276 ;
rfpro.ru/question/197837 ;
rfpro.ru/question/197838 ;
rfpro.ru/question/197840 ;
rfpro.ru/question/197839 ;
rfpro.ru/question/194831 ;
rfpro.ru/question/196335 ;
rfpro.ru/question/196430 ;
В консультации rfpro.ru/question/196998 Вы можете скачать методичку по решению задач с ортами. =Удачи.
В библиотеке Портала rfpro.ru Вы можете найти много решений задач, похожих на Вашу. Например :
rfpro.ru/question/198337 ссылка ;
rfpro.ru/question/198279 ;
rfpro.ru/question/198276 ;
rfpro.ru/question/197837 ;
rfpro.ru/question/197838 ;
rfpro.ru/question/197840 ;
rfpro.ru/question/197839 ;
rfpro.ru/question/194831 ;
rfpro.ru/question/196335 ;
rfpro.ru/question/196430 ;
В консультации rfpro.ru/question/196998 Вы можете скачать методичку по решению задач с ортами. =Удачи.
11.11.2020, 06:17
общий
это ответ
Здравствуйте, petrovaalbi75!
Если частица движется со скоростью v(t), являющейся функцией времени, и в момент времени t = 0 находится в точке с радиус-вектором r[sub]0[/sub], то её положение в произвольный момент времени t определяется выражением
(компоненты вектора v(t) интегрируются независимо, и результат также яаляется вектором).
Если частица движется со скоростью v(t), являющейся функцией времени, и в момент времени t = 0 находится в точке с радиус-вектором r[sub]0[/sub], то её положение в произвольный момент времени t определяется выражением
(компоненты вектора v(t) интегрируются независимо, и результат также яаляется вектором).
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