lecture_24.ipynb

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    "![q1](q1.png)\n",
    "\n",
    "![q2](q2.png)\n",
    "\n",
    "### How do Runge-Kutta methods increase the order of convergence?\n",
    "![q3](q3.png)\n",
    "\n",
    "## Questions from you\n",
    "\n",
    "- How do Runge-Kutta methods increase the order of convergence?\n",
    "\n",
    "- Can you provide more assistance for the final project?\n",
    "\n",
    "- Will there be another homework? Or is it just the final project for the rest of the semester.\n",
    "\n",
    "- will the competition be limited to numerical methods or general engineering problems (like the hack-a-thon)?\n",
    "\n",
    "- On the final project, to get the GitHub bonus, do you have to solve the issue? Or do the points go to the one who opens the issue?\n",
    "\n",
    "- can we go over the final project"
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    "# Paper Airplane Design challenge\n",
    "\n",
    "We looked at a Phugoid model comparing Euler and Runge-Kutta second order solutions. Now, use this model to maximize the distance your paper airplane will fly. \n",
    "\n",
    "Using the phugoid model, write a new code to analyze the flight of a paper airplane, with the following conditions:\n",
    "\n",
    "*  Assume $L/D$ of 5.2 (a value close to measurements in [Feng et al. 2009](./feng et al 2009-paper_airplane.pdf))\n",
    "*  For the trim velocity, $v_{t}$=5.5 m/s.\n",
    "\n",
    "Submit your github repository to the following Google form:\n",
    "\n",
    "[https://goo.gl/forms/mI2CKcyRvfOWz5FF3](https://goo.gl/forms/mI2CKcyRvfOWz5FF3)\n",
    "\n",
    "Initial judging by Prof. Cooper will be based upon clarity of solution (e.g. documents, files, results in README)\n",
    "\n",
    "The top groups will be distributed to the class to be voted on\n",
    "\n",
    "We have focused on Matlab/Octave in our work this semester, but if you prefer Python or some other language, feel free to code your solution in your language of choice. \n",
    "\n",
    "**Good Luck!**"
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