# 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

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:24 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/meteorites-travelling-parabolic-path-strike-earth-19124

#### Solution Preview

Please see attachment

If the equation of the earth with its center at the origin is xsquared + ysquared =65 where x and y are distances in thousands of kilometers will either of two meteroites with equations below strike the earth.

Posting The earth with center at the origin has equation of xsquared + ysquared =65 where x and y are distances in thousands of kilometers. sketch and show how you did it. 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 ...

#### Solution Summary

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