Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 are x = t − 2 sin t, y = 3 − 2 cos t Assuming that the plane flies in a room in which the floor is at y = 0, explain why the plane will not crash into the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] How high must the ceiling be to ensure that the plane

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter1: Introduction And Vectors
Section: Chapter Questions
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Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 are
x = t − 2 sin t, y = 3 − 2 cos t

  • Assuming that the plane flies in a room in which the floor is at y = 0, explain why the plane will not crash
    into the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.]
  • How high must the ceiling be to ensure that the plane does not touch or crash into it?
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