Question

Пуля выпущена вертикально вверх со скоростью 400м/с. На какой высоте звук догонит пулю? Сопротивление воздуха не учитывать.

Answer 1

Дано V1=400 м/с  V2=340 м/с   h - ?

h=V1*t - g*t^2/2
h=V2*t
g*t^2/2=t*(V1-V2)
t=2*(V1-V2)/g=2*60/10=12 c
h=340*12=4080 м
h=400*12 -5*144=4080 м

Answer 2

Calculation of the Height at which the Sound will Overtake the Bullet

To calculate the height at which the sound will overtake the bullet, we need to consider the speed of sound and the initial velocity of the bullet.

Given: - Initial velocity of the bullet: 400 m/s

We need to find the height at which the sound will overtake the bullet.

To solve this problem, we can use the equation of motion for the bullet and the equation for the speed of sound.

The equation of motion for the bullet can be written as:

s = ut + (1/2)at^2

Where: - s is the displacement (height) - u is the initial velocity of the bullet - t is the time - a is the acceleration (in this case, it is the acceleration due to gravity, which is approximately 9.8 m/s^2)

The equation for the speed of sound is:

v_sound = 343 m/s

To find the time at which the sound will overtake the bullet, we can equate the displacement of the bullet to the displacement of the sound:

s_bullet = s_sound

Substituting the equations for the bullet and the sound:

ut + (1/2)at^2 = v_sound * t

Simplifying the equation:

(1/2)at^2 - v_sound * t + ut = 0

This is a quadratic equation in terms of t. We can solve this equation to find the time at which the sound will overtake the bullet. Once we have the time, we can substitute it back into the equation of motion for the bullet to find the height at which the sound will overtake the bullet.

Please note that we are not considering air resistance in this calculation, as specified in the question.

Let's calculate the height at which the sound will overtake the bullet using the given information.