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Здравствуйте! У меня возникли сложности с таким вопросом:
Помогите решить задачу, пожалуйста:
Частица движется так, что её скорость зависит от времени по закону
где -- постоянные величины, -- единичные орты в декартовой системе координат. Через сколько секунд ускорение частицы будет перпендикулярно оси если c, м/с, м/с? а) с; б) с; в) с; г) с; д) с.
Вектор ускорения частицы будет перпендикулярен оси если его компонента вдоль оси равна нулю, а компонента вдоль оси не равна нулю, то есть выполняются соотношения
Решая уравнение (1), получим, что (с). При этом неравенство (2) выполняется.
Частица движется так, что её скорость зависит от времени по закону
где -- постоянные величины, -- единичные орты в декартовой системе координат. Через сколько секунд ускорение частицы будет перпендикулярно оси если c, м/с, м/с? а) с; б) с; в) с; г) с; д) с.
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