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Unformatted text preview: the bank twice and then returns to its original position. 3. (extra) Consider the trajectory of a Billiard ball in a triangle (start at any point, in any direction, and assume that the speed remains constant. If the ball hits one of the corners, the ball stops). Can you play in such a way that the trajectory Flls the entire triangle? Can you play in such a way that a certain area of the triangle is never covered by the trajectory? Answer the same questions for a circle. You may want to use a java applet, e.g. the one on http://serendip.brynmawr.edu/chaos/doc.html....
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This note was uploaded on 12/09/2009 for the course MA 1002 taught by Professor N/a during the Spring '09 term at NYU Poly.
- Spring '09