Question

Управляемым реактивным снарядом был произведен выстрел, и снаряд полетел в цели со скоростью 510 м / с. Определите время (в секундах) после выстрела, через который человек, который сделал выстрел, услышит звук взрыва снаряда. Цель находится на расстоянии 10,2 км. Скорость звука в воздухе составляет 340 м / с.

Answer 1

Туда долетит за t1=10200/510=20c. Обратно звук дойдёт через t2=10200/340=30c. t= t1+t2=20+30=50c

Answer 2

Calculation of the Time for the Sound of the Projectile's Explosion to Reach the Shooter

To determine the time it takes for the sound of the projectile's explosion to reach the shooter, we need to calculate the time it takes for the projectile to reach the target and then add the time it takes for the sound to travel back to the shooter.

Given information: - Speed of the projectile: 510 m/s- Distance to the target: 10.2 km (10,200 m) - Speed of sound in air: 340 m/s First, we calculate the time it takes for the projectile to reach the target using the formula:

Time = Distance / Speed

Time for the projectile to reach the target: ``` Time = 10,200 m / 510 m/s = 20 seconds ```

Next, we calculate the time it takes for the sound to travel back from the target to the shooter using the formula:

Time = Distance / Speed

Distance for the sound to travel back: ``` Distance = Distance to target = 10,200 m ```

Time for the sound to travel back: ``` Time = 10,200 m / 340 m/s = 30 seconds ```

Finally, we add the time for the projectile to reach the target and the time for the sound to travel back to get the total time:

Total Time = Time for Projectile + Time for Sound

Total time for the sound of the projectile's explosion to reach the shooter: ``` Total Time = 20 seconds + 30 seconds = 50 seconds ```

Therefore, the person who fired the shot will hear the sound of the projectile's explosion approximately 50 seconds after firing the shot.

Please note that this calculation assumes a straight line of sight between the shooter and the target, and it does not take into account factors such as air temperature, wind speed, or other atmospheric conditions that may affect the speed of sound.