The  Physics  behind  baseball  and  the  motion  of  projectiles   http://vfsilesieux.free.fr/baseballvideo/video.swf     1. What  does  the  conservation  of  momentum  have  to  do  with  pitching?   2. How   is   it   possible   to   study   the   throwing   motion   in   detail   in   order   to   enhance  performance?   3. Why  are  baseball  pitchers  great  experimental  physicists?   4. How  does  Newton’s  2de  law  apply  to  pitching?  How  is  it  illustrated?   5. What  are  the  forces  applying  on  the  ball  during  its  fly?   6. Why  does  the  trajectory  of  the  ball  curve?   7. What  is  Newton’s  3rd  law  application  when  batting?   8. What  is  the  trade  off  with  the  mass  of  the  bat?   9. What  is  the  so-­‐called  sweet  spot  and  what  is  the  interest  of  hitting  on   this  point?   10. Find  out  the  maximum  range  of  a  baseball  if  at  t=0  the  ball  is  traveling   at   speed   v0=45   m.s-­‐1   at   an   angle   θ=30°   to   the   horizontal   and   it   starts   at   an   initial   height   of   h=1.0   m.   Don’t   consider   air   resistance   but   only   gravity.   11. Express  the  time  of  flight  T.   12. Express  the  maximum  height  H.   13. What  is  the  best  launching  angle?   14. In  fact  the  assumption  that  air  resistance  can  be  neglected  is  incorrect.   For   the   speeds   at   which   baseballs   normally   travel,   the   aerodynamic   ! drag   force   depends   on   the   square   of   the   air   speed:  𝐹! = ∙ 𝐶! ∙ 𝜌 ∙ 𝐴 ∙ ! ! 𝑣  𝑤here   v   is   the   air   speed,   A   the   cross-­‐sectional   area   of   the   ball   perpendicular   to   the   airflow,  𝜌  is   the   air   density   (1.3   kg.m-­‐3)   and  𝐶!  is   the  empirically  determined  drag  coefficient  (it  is  a  safe  approximation   to   assume   a   constant   value   of  𝐶! = 0.3).   An   official   major-­‐league   baseball  has  a  diameter  of  about  7.4  cm  and  a  mass  of  145  g.  Prove  by   calculating   the   ratio   of   the   magnitudes   of   the   two   forces   that   air   resistance  cannot  be  neglected  relative  to  the  weight  of  the  ball  when   determining  the  trajectory  of  a  fly  ball.