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Консультация № 199658
19.11.2020, 11:11
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Частица начала свое движение из точки с радиусом-вектором со скоростью, которая зависит от времени по закону . На какое расстояние от начала координат удалится частица в момент времени с, если А = В = 1 м/c, С = 1 м.
(ВОПРОС НА ФОТО)
Частица начала свое движение из точки с радиусом-вектором со скоростью, которая зависит от времени по закону . На какое расстояние от начала координат удалится частица в момент времени с, если А = В = 1 м/c, С = 1 м.
(ВОПРОС НА ФОТО)
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Обсуждение
24.11.2020, 06:06
общий
это ответ
Здравствуйте, Дмитрий!
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
В данном случае с учётом исходных данных r[sub]0[/sub] = {1, 1} и v(t) = {t[sup]7[/sup], t[sup]2[/sup]}, откуда
В момент времени t = 1 с r(1) = {9/8, 4/3} и
м.
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
В данном случае с учётом исходных данных r[sub]0[/sub] = {1, 1} и v(t) = {t[sup]7[/sup], t[sup]2[/sup]}, откуда
В момент времени t = 1 с r(1) = {9/8, 4/3} и
м.
5
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