As illustrated in the accompanying figure, suppose thattwo transmitting stations are

Chapter 10, Problem 47

(choose chapter or problem)

As illustrated in the accompanying figure, suppose that two transmitting stations are positioned \(100 \mathrm{~km}\) apart at points \(F_{1}(50,0)\) and \(F_{2}(-50,0)\) on a straight shoreline in an -coordinate system. Suppose also that a ship is traveling parallel to the shoreline but \(200 \mathrm{~km}\) at sea. Find the coordinates of the ship if the stations transmit a pulse simultaneously, but the pulse from station \(F_{1}\) is received by the ship 100 microseconds sooner than the pulse from station \(F_{2}\). [Assume that the pulses travel at the speed of light \(299,792,458 \mathrm{~m} / \mathrm{s}\).]

Equation Transcription:

Text Transcription:

100km

F_1(50, 0)

F_2(-50, 0)

200km

F_1

F_2

299,792,458 m/s