A simplified model of a submarine sonar assumes that all objects echoing the signal are moving either straight toward or straight away from the detector. What is direction and magnitude of the velocity of a whale if a detector receives a signal of 21,550 Hz while the emitted signal had a frequency of 22,300 Hz. Consider the speed of sound in water v_w = 1,500 m/s.

Select one:

a.

whale moves toward detector with a velocity of 3.42 m/s

b.

whale moves toward detector with a velocity of 12.1 m/s

c.

whale moves away from the detector with a velocity of 25.7 m/s

d.

whale moves away from the detector with a velocity of 31.8 m/s