Question

Аэростат летит со скоростью 5 м/c. На высоте 20м выпал 1 предмет. Какова скорость предмета при ударе на землю, сколько времени ушло на падение?

Answer 1

20/5=4 м в с скорость  падения

Answer 2

Problem Analysis

To solve this problem, we need to calculate the speed and time it takes for an object to fall from a height of 20m when the airship is moving at a speed of 5 m/s.

Calculating the Speed of the Object

The speed of the object when it hits the ground can be calculated using the formula for the final velocity of an object in free fall: v = √(u^2 + 2as)

Where: - v = final velocity - u = initial velocity (in this case, 5 m/s, the speed of the airship) - a = acceleration due to gravity (approximately 9.81 m/s^2) - s = distance fallen (in this case, 20m)

Calculating the Time of Fall

The time it takes for the object to fall can be calculated using the formula: t = √(2s/a)

Where: - t = time - s = distance fallen (in this case, 20m) - a = acceleration due to gravity (approximately 9.81 m/s^2)

Let's calculate the speed and time it takes for the object to fall.

Calculation

Using the given values: - Initial velocity (u) = 5 m/s - Distance fallen (s) = 20m - Acceleration due to gravity (a) = 9.81 m/s^2

Speed Calculation

v = √(5^2 + 2 * 9.81 * 20) v ≈ 22.14 m/s

Time Calculation

t = √(2 * 20 / 9.81) t ≈ 2.02 seconds

Conclusion

The speed of the object when it hits the ground is approximately 22.14 m/s, and it takes approximately 2.02 seconds for the object to fall from a height of 20m when the airship is moving at a speed of 5 m/s.