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Консультация № 199768
03.12.2020, 11:29
0.00 руб.
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3
1
Здравствуйте! У меня возникли сложности с таким вопросом: Тело, брошенное под углом к горизонту с горизонтального участка поверхности Земли, упало на расстоянии 16 м от точки броска. Известно, что во время полёта максимальная высота подъёма тела равнялась 4 м. Пренебрегая сопротивлением воздуха, найдите, под каким углом к горизонту был произведён бросок. Ответ запишите в градусах, округлив до целого значения. Ускорение свободного падения считать равным 10 м/с2.
Обсуждение
08.12.2020, 01:48
общий
это ответ
Здравствуйте, dirad4528!
Дано:
x2=16 м
y1=ymax=4 м
g=10 м/с2
Найти: [$945$]о
Решение:
1. Проекция начальной скорости на ось y
voy=[$8730$](2gy1)=8,94 м/с
2. Найдем время подъема t1 до максимальной высоты из формулы
y1=(voy+v1y)*t1/2
Поскольку v1y=0
[$8658$]
t1=2y1/voy=0,89 c
3. Координата x1=x2/2=8 м
Вдоль оси х движение равномерное.
Тогда проекция начальной скорости на ось x
vox=x1/t1=8,99 м/с
4. Искомый угол
[$945$]о=arctg(voy/vox)=arctg(1,0)=45o
Дано:
x2=16 м
y1=ymax=4 м
g=10 м/с2
Найти: [$945$]о
Решение:
1. Проекция начальной скорости на ось y
voy=[$8730$](2gy1)=8,94 м/с
2. Найдем время подъема t1 до максимальной высоты из формулы
y1=(voy+v1y)*t1/2
Поскольку v1y=0
[$8658$]
t1=2y1/voy=0,89 c
3. Координата x1=x2/2=8 м
Вдоль оси х движение равномерное.
Тогда проекция начальной скорости на ось x
vox=x1/t1=8,99 м/с
4. Искомый угол
[$945$]о=arctg(voy/vox)=arctg(1,0)=45o
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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