math in the news: 7/18/11

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7/18/11

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In this issue of Math in the News, we look at the mechanics of space travel, as we bid a fond farewell to the Space Shuttle Atlantis. For more math media resources, go to http://www.media4math.com

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Page 1: Math in the News: 7/18/11

7/18/11

Page 2: Math in the News: 7/18/11

Space  Travel  

•  There  are  a  number  of  moving  parts  when  it  comes  to  launching  a  spacecra7.  

Page 3: Math in the News: 7/18/11

Space  Travel  

•  In  this  anima:on,  no:ce  the  path  that  the  rocket  takes.  

Page 4: Math in the News: 7/18/11

Space  Travel  

•  The  movement  of  the  Shu=le  is  a  combina:on  of  a  sideways  mo:on  and  a  ver:cal  mo:on.  

Page 5: Math in the News: 7/18/11

Space  Travel  

•  Where  does  the  Shu=le's  sideways  mo:on  come  from?  

Page 6: Math in the News: 7/18/11

Space  Travel  

•  It's  a  result  of  the  Earth's  rota:on.  

Page 7: Math in the News: 7/18/11

Space  Travel  

•  As  the  Earth  rotates  about  its  axis,  the  Shu=le  moves  along,  too.  

Page 8: Math in the News: 7/18/11

Space  Travel  

•  At  any  point  in  its  rota:on  the  sideways  speed  vector  is  perpendicular  to  the  Earth's  surface.  

Page 9: Math in the News: 7/18/11

Space  Travel  

•  At  li7off,  the  the  Shu=le  has  what  becomes  a  sideways  speed.  

Page 10: Math in the News: 7/18/11

Space  Travel  

•  The  horizontal  and  ver:cal  components  of  mo:on  can  each  be  represented  by  parametric  equa:ons.  

Page 11: Math in the News: 7/18/11

Space  Travel  

•  This  pair  of  parametric  equa:ons  describes  the  horizontal,  x(t),  mo:on,  and  the  ver:cal,  y(t),    mo:on.  Note  the  parabolic  shape  of  the  graph.  

Page 12: Math in the News: 7/18/11

Space  Travel  

•  The  parametric  equa:ons  account  for  the  sideways,  linear,  mo:on  and  the  ver:cal,  quadra:c,  mo:on  of  the  shu=le.