A transponder is an instrument anchored to the seafloor on a tether that receives an acoustic signal at a certain frequency (frequency is number of wavelengths that pass a fixed point per second) and transmits a response at a different frequency. In the illustration, transponders are anchored along the top of the ridge and spaced at even intervals.

Each transponder is dropped over the side of the ship. The transponder is attached to a
weight (the anchor) by a wire. After the weight reaches the sea floor, the
transponder floats above it. Sixteen transponders will be deployed at the top of the Puna
Ridge; they are spaced 4 km apart.
To accurately
locate each transponder, the ship sails around it transmitting to the transponder
and receiving a response from it as illustrated. Distance to the transponder is calculated
by multiplying the speed of sound in water by half the time that it takes for the signal
to travel to the transponder and back (to account for 2-way travel time). Distances
to the transponder from several ship locations are obtained and combined to locate the
seafloor transponder.
The
next step is to locate the DSL-120 vehicle within the network of transponders. In
some places the vehicle may be several kilometers behind the ship and several kilometers
below the sea surface. A transponder is attached to the DSL-120 vehicle. The ship
transmits to the DSL-120 transponder which in turn sends an acoustic signal back to the
ship and to nearby seafloor transponders. When they receive the transmission, the
seafloor transponders send an acoustic signal to the ship. Although it is somewhat
complicated, all of the travel times can be combined to determine the distances between
the DSL-120 vehicle, the ship, and the seafloor transponders!
How far from the ship is a seafloor transponder if an acoustic signal takes 4 seconds to travel from the ship to the seafloor transponder and back to the ship? Use 1500 m/s for the speed of sound in the ocean.
Check your answer below to see if you are right.