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Will Meteorites Travelling on a Parabolic Path Strike the Earth?

The earth with center at the origin has equation of xsquared + ysquared =65 where x and y are distances in thousands of kilometers. Will either of these two meteorites whose equations I will give you strike the earth? The first meteorite is a parabola whose equation is 18x-ysquared = -144. Please show all steps in sketching and show how you would use y-intercept to help estimate its path. The second meteorite is coming from the lower left along one branch of the parabola whose equation I just gave you. This second meterorite's equation is 4(xsquared) - ysquared - 80x = - 340. Will it strike the earth and where? Show sketch and please give basic steps

Solution Summary

It is determined whether two meteroites travelling on different paths will strike the Earth. Diagrams and explanations of calulations are included.