The speed of sound in water is 1498 m/s. A sonar signal is sent straight down from a ship at a point just below the water surface, and 1.95 s later, the reflected signal is detected. How deep is the water?
depth is d
total distance traveled = 2d
2d = 1.95s * 1498m/s = 2921.1 m
d = 1460.55 m
To find the depth of the water, we need to use the formula:
Depth = Speed of sound in water * Time / 2
Given:
Speed of sound in water = 1498 m/s
Time = 1.95 s
Plugging in the values into the formula:
Depth = 1498 m/s * 1.95 s / 2
Calculating this equation:
Depth = 1498 m/s * 1.95 s / 2
Depth ≈ 1462.71 meters
Therefore, the depth of the water is approximately 1462.71 meters.
To find the depth of the water, we can use the formula:
Depth = (Speed of Sound × Time) / 2
Let's plug in the given values:
Speed of Sound in water = 1498 m/s
Time = 1.95 s
Now, substitute these values into the formula:
Depth = (1498 m/s × 1.95 s) / 2
Simplifying the equation:
Depth = 2920.1 m / 2
Depth = 1460.05 m
Therefore, the depth of the water is approximately 1460.05 meters.