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Консультация № 109704
16.11.2007, 15:38
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Уважаемые знатоки помогите!Материальная точка движется прямолинейно с начальной скоростью U=10 м/с и постоянным ускорением а=-5 м/с.Определить ,во сколько раз путь- дельта S,пройденный материальной точкой ,будет превышать модуль ее перемещения-дельта r спустя t=4 cек. после начала отсчета времени.
Обсуждение
Неизвестный
18.11.2007, 08:41
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это ответ
Здравствуйте, Карачев Сергей Александрович!
Уважаемые знатоки помогите!Материальная точка движется прямолинейно с начальной скоростью U=10 м/с и постоянным ускорением а=-5 м/с.Определить ,во сколько раз путь- дельта S,пройденный материальной точкой ,будет превышать модуль ее перемещения-дельта r спустя t=4 cек. после начала отсчета времени.
Перемещение можно найти по стандартной формуле S = U*t + a*t<sup>2</sup>/2 = 10*4 - 5*4<sup>2</sup>/2 = 0.
Таким образом, ненулевой путь будет превышать перемещение в бесконечное число раз.
Для вашей информации я посчитаю путь.
До остановки, которая произойдёт через |U/a| = 2 секунды тело пройдёт S1 = U*t + a*t<sup>2</sup>/2 = 10*2 - 5*2<sup>2</sup>/2 = 10 метров.
За последующие 2 секунды тело пройдёт ещё 10 метров, чтобы вернуться в начальную точку, как мы уже обнаружили при подсчёте перемещения.
Т.е. полный путь за 4 секунды - 20 метров.
Уважаемые знатоки помогите!Материальная точка движется прямолинейно с начальной скоростью U=10 м/с и постоянным ускорением а=-5 м/с.Определить ,во сколько раз путь- дельта S,пройденный материальной точкой ,будет превышать модуль ее перемещения-дельта r спустя t=4 cек. после начала отсчета времени.
Перемещение можно найти по стандартной формуле S = U*t + a*t<sup>2</sup>/2 = 10*4 - 5*4<sup>2</sup>/2 = 0.
Таким образом, ненулевой путь будет превышать перемещение в бесконечное число раз.
Для вашей информации я посчитаю путь.
До остановки, которая произойдёт через |U/a| = 2 секунды тело пройдёт S1 = U*t + a*t<sup>2</sup>/2 = 10*2 - 5*2<sup>2</sup>/2 = 10 метров.
За последующие 2 секунды тело пройдёт ещё 10 метров, чтобы вернуться в начальную точку, как мы уже обнаружили при подсчёте перемещения.
Т.е. полный путь за 4 секунды - 20 метров.
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