An explosion was heard on a cruise ship and on a naval ship. The passengers on the cruise ship heard the sound ½ second before the officers on the naval ship. When the difference in distances between the explosion and the locations of two ships remains constant the possible locations of the explosion would follow a hyperbolic path around the cruise ship. Given the speed of sound approximately 1100 feet per second and the ships are 2640 feet apart describe the possible locations of the explosion using an equation. (Hint..think of having the explosion happen on the transverse axis of the hyperbola)

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.