In a suspense-thriller movie, two submarines, \(X\) and Y, approach each other,
traveling at \(10.0 \mathrm{~m} / \mathrm{s}\) and \(15.0 \mathrm{~m} /
\mathrm{s}\), respectively. Submarine X "pings" submarine Y by sending a sonar
wave of frequency \(2000.0 \mathrm{~Hz}\). Assume that the sound travels at
\(1500.0 \mathrm{~m} / \mathrm{s}\) in the water.
a) Determine the frequency of the sonar wave detected by submarine Y.
b) What is the frequency detected by submarine \(X\) for the sonar wave
reflected off submarine Y?
c) Suppose the submarines barely miss each other and begin to move away from
each other. What frequency does submarine Y detect from the pings sent by X?
How much is the Doppler shift?