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Консультация № 181011
29.11.2010, 08:55
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Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
Два тела брошены с одинаковой начальной скоростью под углами α и (90 – α) к горизонту. Определить отношение наибольших высот подъема этих тел.
Два тела брошены с одинаковой начальной скоростью под углами α и (90 – α) к горизонту. Определить отношение наибольших высот подъема этих тел.
Обсуждение
29.11.2010, 09:45
общий
это ответ
Здравствуйте, Иван Петрович!
Если кратко о формуле для максимальной высоты подъёма:
H=V0*sin[$945$]*t - g*t2/2, где t - время подъёма
Vy=V0*sin[$945$] - g*t
Vy=0 - в верхней точке траектории
V0*sin[$945$]=g*t
Решая совместно получим:
H=V02*sin2[$945$]/(2*g)
Тогда искомое отношение будет равно:
H1/H2=V02*sin2[$945$]*2*g/(2*g*V02*sin2[90-[$945$]])=sin2[$945$]/cos2[$945$]=tg2[$945$]
Будут вопросы обращайтесь в мини-форум.
Удачи
Если кратко о формуле для максимальной высоты подъёма:
H=V0*sin[$945$]*t - g*t2/2, где t - время подъёма
Vy=V0*sin[$945$] - g*t
Vy=0 - в верхней точке траектории
V0*sin[$945$]=g*t
Решая совместно получим:
H=V02*sin2[$945$]/(2*g)
Тогда искомое отношение будет равно:
H1/H2=V02*sin2[$945$]*2*g/(2*g*V02*sin2[90-[$945$]])=sin2[$945$]/cos2[$945$]=tg2[$945$]
Будут вопросы обращайтесь в мини-форум.
Удачи
5
Спасибо!!!
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