Math in the News: 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. …

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.

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  • 1. 7/18/11
  • 2. Space  Travel  •  There  are  a   number  of   moving  parts   when  it  comes  to   launching  a   spacecra7.  
  • 3. Space  Travel  •  In  this   anima:on,   no:ce  the  path   that  the  rocket   takes.  
  • 4. Space  Travel  •  The  movement   of  the  Shu=le  is   a  combina:on  of   a  sideways   mo:on  and  a   ver:cal  mo:on.  
  • 5. Space  Travel  •  Where  does  the   Shu=les   sideways  mo:on   come  from?  
  • 6. Space  Travel  •  Its  a  result  of   the  Earths   rota:on.  
  • 7. Space  Travel  •  As  the  Earth   rotates  about  its   axis,  the  Shu=le   moves  along,   too.  
  • 8. Space  Travel  •  At  any  point  in   its  rota:on  the   sideways  speed   vector  is   perpendicular  to   the  Earths   surface.  
  • 9. Space  Travel  •  At  li7off,  the  the   Shu=le  has  what   becomes  a   sideways  speed.  
  • 10. Space  Travel  •  The  horizontal   and  ver:cal   components  of   mo:on  can  each   be  represented   by  parametric   equa:ons.  
  • 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.  
  • 12. 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.