Предмет: Физика, автор: Overlast11

Под каким углом к горизонту брошено тело если дальность полета в четыре раза больше максимальной высоты подъема?Сопротивление воздуха можно принебреч.

Ответы

Автор ответа: dnepr1

0

Дальность полета: S =(Vo²sin2α) / g.
Максимальная высота полёта H = (Vo²sin²α) / 2g.
По условию S = 4H. Представим sin2α = 2sinα*cosα.
Тогда (Vo²2sinα*cosα) / g = 4(Vo²sin²α) / 2g.
После сокращения получаем cosα = sinα.
Такое равенство при α = 45 градусов.

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