1. Assuming a portion of the trajectory of a nuclear missile fired when plotted in the Cartesian plane follows a quadratic curve and is found to pass through the points (-1, 0), (0, 1) and (1, 4). A stealth plane must intercept the missile by firing a heat seeking missile which will travel in an orthogonal trajectory with the nuke. If the interception is a success at the point (2, 9), determine the equation of the trajectory of the heat seeking missile. Sketch the trajectories of both missiles.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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1. Assuming a portion of the trajectory of a nuclear missile fired when plotted in the Cartesian plane follows a
quadratic curve and is found to pass through the points (-1, 0), (0, 1) and (1, 4). A stealth plane must intercept
the missile by firing a heat seeking missile which will travel in an orthogonal trajectory with the nuke. If the
interception is a success at the point (2, 9), determine the equation of the trajectory of the heat seeking missile.
Sketch the trajectories of both missiles.
Transcribed Image Text:1. Assuming a portion of the trajectory of a nuclear missile fired when plotted in the Cartesian plane follows a quadratic curve and is found to pass through the points (-1, 0), (0, 1) and (1, 4). A stealth plane must intercept the missile by firing a heat seeking missile which will travel in an orthogonal trajectory with the nuke. If the interception is a success at the point (2, 9), determine the equation of the trajectory of the heat seeking missile. Sketch the trajectories of both missiles.
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