The speed of sound in fresh water is 1.5 ✕ 103 m/s. Ultrasound sent from a boat on a fresh water lake strikes a school of fish and is received back at the surface after a total elapsed time of 150 ms. How far are the fish from the boat?
To find the distance between the boat and the fish, we can use the formula:
Distance = Speed × Time
In this case, the speed is the speed of sound in fresh water which is given as 1.5 × 10^3 m/s, and the time is the total elapsed time of 150 ms (milliseconds), which needs to be converted to seconds.
To convert milliseconds to seconds, divide the value by 1000:
150 ms ÷ 1000 = 0.150 s
Now we can calculate the distance:
Distance = Speed × Time
Distance = 1.5 × 10^3 m/s × 0.150 s
Multiplying the values:
Distance = 225 m
Therefore, the fish are located 225 meters away from the boat.
2*distance=velociytsound*time
distance=1.5e3*.150/2 meters