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Здравствуйте! Прошу помощи в следующем вопросе: При движении тела его координаты изменяются по закону x=3 sin(πt) м,y=4 cos(πt) м. Найти выражения для модуля радиуса-вектора ,скорости и ускорения тела .Определить значения тангенциального ускорения тела через 10 секунд после начала движения.
О выражении для модуля радиус-вектора я сообщил Вам в мини-форуме консультации. Чтобы вывести остальные выражения, нужно учесть, что скорость тела -- это производная радиус-вектора по времени, ускорение тела -- это производная скорости по времени, тангенциальное ускорение задаётся формулой
Об авторе:
Facta loquuntur.
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Гордиенко Андрей Владимирович 
радиус-вектор, 
-- единичный вектор оси абсцисс, 
-- единичный вектор оси ординат.
