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Консультация № 129718
30.03.2008, 16:49
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты, очень нужна Ваша помощь в решении этой задачи.
1,4
Пурвую половину пути тело двигалось со скоростью 2 м/с, вторую со скоростью 8 м/с. Определить среднюю путевую скорость <V>.
Спасибо...
1,4
Пурвую половину пути тело двигалось со скоростью 2 м/с, вторую со скоростью 8 м/с. Определить среднюю путевую скорость <V>.
Спасибо...
Обсуждение
Неизвестный
01.04.2008, 18:29
общий
это ответ
Здравствуйте, Николай Фаворисович Басманов!
Средняя путевая скорость определяется как отношение пройденного пути к затраченному времени
<V>=S/t
По условию S=S1+S2 причем S1=S2=S/2
Так как про время ничего не известно, его можно определить для каждого участка
t1=S1/V1 и t2=S2/V2
Запишем выражение для средней скорости с учетом данных задачи
<V>=S/t=S/(t1+t2)=S/(S1/V1+S2/V2)=S/(S/(2*V1)+S/(2*V2))
<V>=1/(1/(2*V1)+1/(2*V2))=1/((V1+V2)/(2*V1*V2))=2*V1*V2/(V1+V2)
<V>=2*2*8/(2+8)=3.2 м/с
Ответ: <V>=3.2 м/с
Средняя путевая скорость определяется как отношение пройденного пути к затраченному времени
<V>=S/t
По условию S=S1+S2 причем S1=S2=S/2
Так как про время ничего не известно, его можно определить для каждого участка
t1=S1/V1 и t2=S2/V2
Запишем выражение для средней скорости с учетом данных задачи
<V>=S/t=S/(t1+t2)=S/(S1/V1+S2/V2)=S/(S/(2*V1)+S/(2*V2))
<V>=1/(1/(2*V1)+1/(2*V2))=1/((V1+V2)/(2*V1*V2))=2*V1*V2/(V1+V2)
<V>=2*2*8/(2+8)=3.2 м/с
Ответ: <V>=3.2 м/с
Форма ответа
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