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Консультация № 196735
Обсуждение
20.10.2019, 20:11
общий
Адресаты:
Пожалуйста, предоставьте более качественное изображение с условием задачи.
Об авторе:
Facta loquuntur.
Facta loquuntur.
25.10.2019, 18:50
общий
это ответ
Здравствуйте, samsung12+A
Если движение точки описывается векторным уравнением
r(t) = i[$183$]x(t)+j[$183$]y(t)+k[$183$]z(t),
то её скорость будет определяться выражением
v(t) = i[$183$]x'(t)+j[$183$]y'(t)+k[$183$]z'(t).
В данном случае
r(t) = i[$183$]4t3+j[$183$](2t4-4t6)+k[$183$]sin [$960$]t/2, поэтому
v(t) = i[$183$]12t2+j[$183$](8t3-24t5)+k[$183$][$960$]/2 cos [$960$]t/2.
Скорость перпендикулярна оси y, если её y-координата равна 0, то есть
8t3-24t5=0
или
8t3(1-3t2)=0,
откуда t=0, t=[$177$]1/[$8730$]3 c.
Если движение точки описывается векторным уравнением
r(t) = i[$183$]x(t)+j[$183$]y(t)+k[$183$]z(t),
то её скорость будет определяться выражением
v(t) = i[$183$]x'(t)+j[$183$]y'(t)+k[$183$]z'(t).
В данном случае
r(t) = i[$183$]4t3+j[$183$](2t4-4t6)+k[$183$]sin [$960$]t/2, поэтому
v(t) = i[$183$]12t2+j[$183$](8t3-24t5)+k[$183$][$960$]/2 cos [$960$]t/2.
Скорость перпендикулярна оси y, если её y-координата равна 0, то есть
8t3-24t5=0
или
8t3(1-3t2)=0,
откуда t=0, t=[$177$]1/[$8730$]3 c.
Форма ответа
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