A woman is swimming when she hears the underwater sound wave from an exploding ship across the harbor. She immediately lifts her head out of the water. The sound wave from the explosion propagating through the air reaches her 4.00 s later. How far away is the ship? Assume that the water temperature is 25°C and the air temperature is 23°C.

Velocity of air is 345.03m/s and velocity of water is 1500m/s

I did d=Va (t) = 345.03m/s (4.0s)= 1380.12m

Then I don't know where to go from here.

but all it asked for was d = 1380 meters

d = 4 /(1/Va -1/Vw)

= 1818 m

d = 4 /(.00289 - .000667)

= 4/.0022
= 1818 m

I did this all out for you earlier. Scroll down.

To determine the distance to the ship, you need to take into account the different velocities of sound in air and water.

Since the sound wave is initially traveling through the water, you can first find the time it took for the sound wave to reach the woman while only propagating through the water. To do this, you can use the equation:

distance = velocity × time

Given that the velocity of sound in water is 1500 m/s, you can calculate the distance traveled by the sound wave in the water:

distance_water = velocity_water × time_water

Since the sound wave reached the woman immediately after she heard it, the time in the water (time_water) is equal to zero. Therefore, the distance traveled by the sound wave in the water is also zero.

Next, you can calculate the time it took for the sound wave to travel through the air using the equation:

time_air = time_total - time_water

Given that the total time is 4 seconds, you can calculate the time spent in the air:

time_air = 4 s - 0 s = 4 s

Finally, you can calculate the distance traveled by the sound wave in the air:

distance_air = velocity_air × time_air

Given that the velocity of sound in air is 345.03 m/s and the time in the air is 4 seconds, you can calculate the distance traveled by the sound wave in the air:

distance_air = 345.03 m/s × 4 s = 1380.12 m

Now, to find the total distance to the ship, you can add the distances traveled in the water and the air:

total_distance = distance_water + distance_air
total_distance = 0 m + 1380.12 m = 1380.12 m

Therefore, the distance to the ship is 1380.12 meters.