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Из курса кинематики мы знаем, что H=U0t-gt2/2. Время мы выразим, как t=U0/g (т.к. скорость тела в верхней точки траектории равна 0). Подставляя вторую формулу в первую получим, что H= U02/2g = 100/20 = 5 метров.
Дано: м/с -- начальная скорость тела, брошенного вертикально вверх. Определить: -- максимальную высоту, на которую поднимется тело.
Решение
Для верхней точки траектории тела, брошенного вертикально вверх, характерно, что в ней скорость тела становится равной нулю; при переходе через эту точку направление движения тела меняется на противоположное. При начальной скорости величиной закон изменения скорости описывается уравнением где -- величина ускорения свободного падения. Тогда в верхней точке траектории получим
-- время, в течение которого тело достигнет максимальной высоты. Если принять, что м/с2, то
(с).
При этом в соответствии с известной формулой для перемещения при прямолинейном движении с постоянным ускорением искомая максимальная высота, на которую поднимется тело, составит
(м).
Ответ: м.
Я использовал символ "" в формулах для обозначения умножения.
Об авторе:
Facta loquuntur.
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alekseyslobodyanyuk20003 
Гордиенко Андрей Владимирович 
м/с -- начальная скорость тела, брошенного вертикально вверх.
-- максимальную высоту, на которую поднимется тело.
закон изменения скорости описывается уравнением 
где 
-- величина ускорения свободного падения. Тогда в верхней точке траектории получим
м/с2, то
(с). При этом в соответствии с известной формулой для перемещения при прямолинейном движении с постоянным ускорением искомая максимальная высота, на которую поднимется тело, составит
(м).
м.
" в формулах для обозначения умножения.