Question

Кот Леопольд сидел у края крыши дома.Мышонок выстрелил в него из рогатки,так что вектор нахально скорости был направлен точно на кота.Камень,описав дугу, через 1 секунду ударился о вертикальную стену дома-2 м от поверхности земли.На какой высоте сидел кот?

Answer 1

За время полёта t камушек отклонился от нахальной прямой (по которой он летел бы в отсутствии гравитации Земли) на величину gt²/2, равную H - h
где
g - ускорение свободного падения вблизи поверхности Земли
t - время полёта
H - высота мишени
h - высота попадания в стенку:
(H - h) = gt²/2
Таким образом
H = gt²/2 + h = 10/2 + 2 = 7 м
Леопольд сидел на карнизе крыши в 7 метрах над землёй.

Answer 2

Calculation of the Cat's Height

To determine the height at which the cat was sitting, we need to analyze the given information. Let's break it down step by step:

1. The mouse shot a stone at the cat from a slingshot. 2. The stone took 1 second to hit a vertical wall of the house, which was 2 meters above the ground.

To find the height at which the cat was sitting, we can use the equations of motion. Since the stone was launched horizontally, its horizontal velocity remains constant throughout its flight. However, the vertical motion of the stone is affected by gravity.

Let's assume that the initial height of the cat is denoted by 'h' and the initial velocity of the stone is denoted by 'v'. The acceleration due to gravity is approximately 9.8 m/s^2.

Using the equation of motion for vertical motion:

h = v*t + (1/2)*g*t^2

where: - h is the initial height of the cat, - v is the initial vertical velocity of the stone (which is 0 since it was launched horizontally), - t is the time taken by the stone to hit the wall (which is 1 second), and - g is the acceleration due to gravity.

Substituting the given values into the equation:

h = 0*1 + (1/2)*9.8*(1^2) = 0 + 4.9 = 4.9 meters

Therefore, the cat was sitting at a height of 4.9 meters.

Please note that the given information does not provide the initial velocity of the stone or any other relevant details. The calculation assumes that the stone was launched horizontally and that there were no other external factors affecting its motion.