Question

Даю 50 балів! 1) Тіло падало з висоти 4 секунди, знайти шлях яке пролетіло тіло 2) Тіло падало з висоти 100 м, знайти час падіння

Answer 1

Ответ:

1) 80 м;      2) ≈ 4,47 с;

Объяснение:

1) Тело падало с высоты 4 секунды, найти путь, который пролетело тело.

Пусть g = 10 м/с² - ускорение свободного падения

Поскольку тело падало без начальной скорости, то оно прошло путь,

h = 0.5 gt² = 0,5 · 10 · 4² = 80 (м)

2) Тело падало с высоты 100 м, найти время падения

Из формулы h = 0.5 gt² получим

$t = \sqrt{\dfrac{2h}{g} } =\sqrt{\dfrac{2\cdot 100}{10} } = \sqrt{20 } \approx 4.47~(s).$

Answer 2

Calculation of Distance Traveled by an Object Falling for 4 Seconds

To find the distance traveled by an object falling for 4 seconds, we can use the formula for the distance traveled by a freely falling object:

Distance = (1/2) * g * t^2

Where: - Distance is the distance traveled by the object - g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth) - t is the time of fall

Substituting the given values into the formula:

Distance = (1/2) * 9.8 m/s^2 * (4 s)^2

Calculating this expression:

Distance = (1/2) * 9.8 m/s^2 * 16 s^2 = 78.4 meters

Therefore, the object traveled a distance of 78.4 meters when falling for 4 seconds. [[1]]

Calculation of Time of Fall for an Object Falling from a Height of 100 meters

To find the time of fall for an object falling from a height of 100 meters, we can use the formula for the time of fall of a freely falling object:

Time = sqrt(2h / g)

Where: - Time is the time of fall - h is the height from which the object falls - g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)

Substituting the given values into the formula:

Time = sqrt(2 * 100 m / 9.8 m/s^2)

Calculating this expression:

Time = sqrt(20.41 s^2) = 4.52 seconds

Therefore, the object takes approximately 4.52 seconds to fall from a height of 100 meters. [[2]]

I hope this helps! Let me know if you have any further questions.