a person fires a rifle at a arget. the bullet leaces the rifle at 460 m/s and the person hears the bullet strike the target 2.00 seconds after firing it. the air temperature is 25.o celcius. what is the distance to the target?
To find the distance to the target, we can use the speed of sound in air and the time it takes for the sound to travel from the target to the person.
The speed of sound in air can be considered approximately 343 meters per second at 25°C.
First, we need to calculate the time it takes for the bullet to reach the target. We are given that the person hears the bullet strike the target 2.00 seconds after firing it. Since sound travels at the speed of sound, we know that the bullet takes 2.00 seconds to reach the target.
Next, we can use the speed of sound and the time taken for sound to travel to calculate the distance to the target.
Distance = Speed × Time
Distance = 343 m/s × 2.00 s
Distance = 686 meters
Therefore, the distance to the target is 686 meters.