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Консультация № 194158
12.12.2018, 07:37
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Здравствуйте! Прошу помощи в следующем вопросе: Задан закон движения r (t) материальной точки в координатной плоскости XY в интервале времени от 1 t до 2 t . Найти уравнение траектории y y(x) и
построить график. Найти модуль вектора перемещения точки в заданном интервале времени. Найти модули начальной 1 v и конечной 2 v скоростей точки.
r (t)=At i +Bt⁵ j; t₁=0.1c; t₂=0.2c; A=0.5m/с; B=20 m/с⁵
построить график. Найти модуль вектора перемещения точки в заданном интервале времени. Найти модули начальной 1 v и конечной 2 v скоростей точки.
r (t)=At i +Bt⁵ j; t₁=0.1c; t₂=0.2c; A=0.5m/с; B=20 m/с⁵
Обсуждение
15.12.2018, 16:17
общий
это ответ
Здравствуйте, Jonik!
Если
то
Имеем
(м) -- модуль вектора перемещения в заданном интервале времени;
(м/с) -- модуль вектора начальной скорости;
(м/с) -- модуль вектора конечной скорости.
Чтобы вывести уравнение траектории
заметим, что
Из уравнения
получим 
и подставим в уравнение 
Тогда
-- уравнение траектории.
Участок траектории, соответствующий значениям
(с), показан на графике ниже.
Если
то
Имеем
(м) -- модуль вектора перемещения в заданном интервале времени; (м/с) -- модуль вектора начальной скорости; (м/с) -- модуль вектора конечной скорости.Чтобы вывести уравнение траектории
заметим, чтоИз уравнения
получим и подставим в уравнение Тогда -- уравнение траектории.Участок траектории, соответствующий значениям
(с), показан на графике ниже.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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