Two ships are moving along a line due east (see figure below). The trailing vessel has a speed relative to a land-based observation point of v_(1)=67.0k(m)/(h), and the leading ship has a speed of v_(2)=45.0k(m)/(h) relative to the point. The two ships are in a region of the ocean where the current is moving uniformly due west at v_(current )=11.4

Question

Two ships are moving along a line due east (see figure below). The trailing vessel has a speed relative to a land-based observation point of

v_(1)=67.0k(m)/(h)

, and the leading ship has a speed of

v_(2)=45.0k(m)/(h)

relative to the point. The two ships are in a region of the ocean where the current is moving uniformly due west at

v_(current )=11.4k(m)/(h)

. The trailing ship transmits a sonar signal at a frequency of

1,200.0Hz

through the water. What frequency is monitored by the leading ship? (Use

1,533(m)/(s)

as the speed of sound in ocean water. Express your answer to five significant figures.)

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