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The Position of a Sonic Boom Caused by the Faster-Than-Sound y2x2=4y ^ { 2 } - x ^ { 2 } = 4

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The position of a sonic boom caused by the faster-than-sound aircraft is the hyperbola y2x2=4y ^ { 2 } - x ^ { 2 } = 4 in the coordinate system shown. How wide is the hyperbola 2 units from its vertex?
 The position of a sonic boom caused by the faster-than-sound aircraft is the hyperbola  y ^ { 2 } - x ^ { 2 } = 4  in the coordinate system shown. How wide is the hyperbola 2 units from its vertex?

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