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OpenStax, Algebra and Trigonometry 2e §12.2 The Hyperbola · Exercise 71 · Geometry · Conic sections

The Hyperbola · Exercise 71

Assume an object enters our solar system and we want to graph its path on a coordinate system with the sun at the origin and the x-axis as the axis of symmetry for the object's path. Give the equation of the flight path of each object using the given information.

The object enters along a path approximated by the line and passes within 0.5 au of the sun at its closest approach, so the sun is one focus of the hyperbola. It then departs the solar system along a path approximated by the line

~8 minWritten answer · compare with the solution

OpenStax, Algebra and Trigonometry 2e · §12.2 The Hyperbola · Exercise 71

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