A ship emits a sound wave to the bottom of the ocean in water, whose speed is 1150 m/s. It takes 3.25 seconds for the sound to return. Determine how deep the ocean is.
it went twice the depth?
2d=1150*3.25
solve for d.
d=vt
d= (1150 m/s)(3.25 s)
d= 3737 x 2
d= 7474 m
To determine the depth of the ocean, we can use the fact that the sound wave travels at a known speed and measure the time it takes for the sound to return.
The formula we can use is:
depth = (speed of sound * time) / 2
where the depth is the distance traveled by the sound wave. Since the sound wave travels down to the bottom of the ocean and then back up to the ship, we divide the total distance by 2.
In this case, the speed of sound in water is given as 1150 m/s, and the time it takes for the sound to return is 3.25 seconds.
Plugging in these values into the formula, we get:
depth = (1150 m/s * 3.25 s) / 2
Simplifying further:
depth = (3737.5 m) / 2
depth = 1868.75 m
Therefore, the depth of the ocean is approximately 1868.75 meters.