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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.

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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