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, then the sound waves intersect the ground in a hyperbola with the airplane directly above its center, and a sonic boom is heard along the hyperbola. You hear a sonic boom that is audible along a hyperbola with the equation ( x 2 / 100 ) − ( y 2 / 4 ) = 1 , where x and y are measured in miles. What is the shortesthorizontal distance you could be from the airplane?
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, then the sound waves intersect the ground in a hyperbola with the airplane directly above its center, and a sonic boom is heard along the hyperbola. You hear a sonic boom that is audible along a hyperbola with the equation ( x 2 / 100 ) − ( y 2 / 4 ) = 1 , where x and y are measured in miles. What is the shortesthorizontal distance you could be from the airplane?
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, then the sound waves intersect the ground in a hyperbola with the airplane directly above its center, and a sonic boom is heard along the hyperbola. You hear a sonic boom that is audible along a hyperbola with the equation
(
x
2
/
100
)
−
(
y
2
/
4
)
=
1
, where
x
and
y
are measured in miles. What is the shortesthorizontal distance you could be from the airplane?
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