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Уважаемые эксперты, помогите, пожалуйста, решить задачи: 1) Шарик скатывается с наклонной плоскости без начальной скорости. Пройдя расстояние 3 м, он приобрёл скорость 2 м/с. Какое расстояние должен пройти шарик,чтобы приобрести скорость 4 м/с? 2) Тележка двигается равноускоренно. Сколько времени она будет двигаться в том же направлении, что и в начальный момет, если v0x=20 м/с, ax=-4 м/с2? 3) Самолёт касается посадочной полосы при скорости V0=60 м/с и останавливается, прбежав L=1800 м. Какова скорость V самолёта, когда он пробежал по полосе s=450 м?
Обсуждение
Неизвестный
27.09.2008, 22:03
общий
это ответ
Здравствуйте, Алексеев Илья Юрьевич! 1. Запишем кинематические уравнения: x=at[sup]2[/sup]/2 (т.к. x0=0 - нам так удобнее, v0=0 - по условию) v=at Подставляем данные и получаем систему из 2х уравнений с 2мя неизвестными: { 3=at2/2 { 2=at Решая, получаем t=3c. Т.к. движение равнопеременное, то для t1=2t0 v1=2v0, то есть v=4 при t=6. (Можете ускорение посчитать, если не верите - 2/3 м/с2).
2. Запишем уравнение скорости: v=v0-at. Смена направления движения произойдёт сразу после момента, когда v=0, т.е. находим t из уравнения 0=20-4t, => t=5.
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