AERONAUTICS When an airplane travels faster than the speed of sound, the sound waves

Chapter 4, Problem 95

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AERONAUTICS When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane. If the airplane is flying parallel to the ground, the sound waves intersect the ground in a hyperbola with the airplane directly above its center (see figure). A sonic boom is heard along the hyperbola. You hear a sonic boom that is audible along a hyperbola with the equation where and are measured in miles. What is the shortest horizontal distance you could be from the airplane?

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