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§  Today,	
  we	
  will	
  
•  Conduct	
  an	
  Inves4ga4on	
  
•  Take	
  some	
  notes	
  
•  Write	
  a	
  short	
  reflec4on	
  about	
  what	
  we	
  
learned	
  
§  Please	
  Do	
  Now:	
  
•  get	
  your	
  lab	
  notebook	
  
•  get	
  out	
  something	
  to	
  write	
  with	
  
Good	
  Morning!	
  
§  How	
  does	
  ini*al	
  velocity	
  affect	
  the	
  *me	
  it	
  
takes	
  a	
  horizontally-­‐	
  launched	
  projec*le	
  to	
  
reach	
  the	
  ground?	
  
§  Take	
  a	
  few	
  moments	
  and	
  read	
  pg	
  174	
  –	
  175	
  
in	
  your	
  text.	
  As	
  you	
  read,	
  be	
  thinking	
  about:	
  
•  what	
  materials	
  will	
  you	
  be	
  using	
  
•  how	
  the	
  lab	
  will	
  help	
  you	
  answer	
  the	
  ques4on	
  
•  what	
  your	
  hypothesis	
  will	
  be	
  
Today s	
  Investigation	
  
§ Turn	
  to	
  the	
  first	
  clean	
  page	
  in	
  your	
  lab	
  
notebook	
  and	
  4tle	
  it,	
   Chpt	
  2.	
  Sec	
  4	
  -­‐	
  
Projec4le	
  Mo4on,	
  part	
  1 	
  
•  Don t	
  forget	
  to	
  make	
  an	
  entry	
  in	
  your	
  
table	
  of	
  contents	
  
§ Copy	
  the	
  ques4on	
  down	
  at	
  the	
  top	
  of	
  
your	
  new	
  page	
  
How	
  does	
  ini*al	
  velocity	
  affect	
  the	
  *me	
  it	
  
takes	
  a	
  horizontally-­‐	
  launched	
  projec*le	
  to	
  
reach	
  the	
  ground?	
  
§ Form	
  a	
  hypothesis	
  that	
  addresses	
  the	
  
lab	
  ques4on.	
  
•  remember:	
  a	
  hypothesis	
  is	
  an	
   if then 	
  
statement	
  –	
  and	
  if	
  you re	
  feeling	
  
par4cularly	
  smart	
  today,	
  add	
  a	
   because 	
  
statement	
  aSer	
  the	
   then 	
  
Projectile	
  Motion,	
  Part	
  1	
  
§ We re	
  going	
  to	
  split	
  the	
  lab	
  into	
  two	
  
parts.	
  Your	
  group	
  will	
  have	
  20	
  minutes	
  
to	
  complete	
  Part	
  A	
  of	
  the	
  lab	
  (#1	
  –	
  4)	
  
Time	
  for	
  the	
  Lab!	
  
§ We’ll	
  get	
  back	
  to	
  the	
  lab	
  before	
  the	
  
end	
  of	
  the	
  period	
  –	
  so	
  leave	
  your	
  lab	
  
notebook	
  out	
  and	
  OPEN	
  
§ For	
  now,	
  get	
  out	
  your	
  spiral	
  for	
  notes	
  
and	
  a	
  clean	
  sheet	
  of	
  notebook	
  paper	
  
for	
  your	
  predictions/reAlection	
  
Time	
  for	
  Notes	
  
It s	
  as	
  easy	
  as	
  rolling	
  off	
  a	
  cliff…	
  
§ If	
  this	
  red	
  ball	
  had	
  a	
  net	
  
force	
  to	
  the	
  right	
  applied	
  
to	
  it	
  and	
  rolled	
  off	
  the	
  cliff	
  
at	
  a	
  constant	
  speed,	
  what	
  
would	
  its	
  path	
  look	
  like?	
  
Make	
  a	
  Prediction	
  
Predict	
  
A B C	
  
Which	
  path	
  will	
  
the	
  ball	
  follow?	
  
§ Determine	
  which	
  path	
  you	
  believe	
  the	
  
ball	
  will	
  follow	
  AND	
  WHY.	
  Write	
  your	
  
predic4on	
  on	
  a	
  clean	
  sheet	
  of	
  paper	
  –	
  
we	
  will	
  be	
  adding	
  to	
  this	
  at	
  the	
  end	
  of	
  
this	
  lesson,	
  so	
  keep	
  it	
  neat!	
  J	
  
Prediction	
  
A B C	
  
A	
  few	
  years	
  ago,	
  
researchers	
  went	
  
to	
  elementary,	
  
middle,	
  and	
  high	
  
schools	
  as	
  well	
  as	
  
universities	
  and	
  
showed	
  students	
  
this	
  image	
  and	
  
asked	
  them,	
  	
  
Ignoring	
  air	
  resistance,	
  which	
  of	
  the	
  following	
  
correctly	
  shows	
  what	
  an	
  object	
  would	
  do	
  if	
  it	
  rolled	
  
off	
  a	
  cliff?	
  
§  The	
  breakdown	
  of	
  answers	
  they	
  got	
  was	
  almost	
  exactly	
  
the	
  same	
  at	
  all	
  ages.	
  
§  About	
  60%	
  said	
  number	
  1	
  was	
  correct.	
  The	
  object	
  will	
  
stop	
  in	
  midair,	
  and	
  then	
  start	
  to	
  fall	
  straight	
  down.	
  
because	
  some	
  people	
  referred	
  to	
  the	
  coyote	
  in	
  cartoons,	
  
the	
  researchers	
  called	
  it	
  the	
  Wile	
  E.	
  Coyote	
  Effect.	
  	
  
§  About	
  25%	
  said	
  number	
  2	
  was	
  correct.	
  The	
  object	
  will	
  
move	
  forward	
  at	
  first,	
  but	
  will	
  eventually	
  just	
  fall	
  straight	
  
down.	
  
§  About	
  15%	
  answered	
  number	
  3.	
  The	
  object	
  will	
  con4nue	
  
to	
  move	
  forwards	
  the	
  en4re	
  4me	
  it	
  is	
  falling.	
  	
  
The	
  Results	
  
§ I m	
  not	
  going	
  to	
  tell	
  you.	
  We ll	
  revisit	
  
the	
  ques4on	
  at	
  the	
  end	
  of	
  these	
  notes.	
  
J	
  
So	
  What s	
  the	
  Correct	
  Answer?	
  
§  Both	
  coins	
  fall	
  the	
  
same	
  amount	
  
ver4cally	
  in	
  the	
  
same	
  amount	
  of	
  
4me.	
  
§  The	
  projected	
  coin	
  
also	
  moved	
  to	
  the	
  
right;	
  but	
  it	
  fell	
  
downward	
  at	
  
exactly	
  the	
  same	
  
rate	
  as	
  the	
  dropped	
  
coin.	
  
Observations	
  from	
  the	
  lab	
  
In	
  your	
  notes,	
  
sketch	
  what	
  
the	
  motion	
  of	
  
these	
  two	
  
coins	
  must	
  
have	
  looked	
  
like	
  
§  As	
  we	
  saw	
  with	
  the	
  coin	
  launcher,	
  both	
  coins	
  –	
  the	
  
one	
  that	
  fell	
  straight	
  down	
  and	
  the	
  one	
  that	
  was	
  
flung	
  out	
  horizontally	
  -­‐	
  hit	
  the	
  ground	
  at	
  the	
  same	
  
4me.	
  
§  So	
  what	
  effect	
  did	
  horizontal	
  velocity	
  have	
  on	
  the	
  
4me	
  it	
  took	
  (the	
  downward	
  mo4on)	
  the	
  coin	
  to	
  hit	
  
the	
  ground?	
  
§  The	
  best	
  conclusion	
  we	
  can	
  make	
  from	
  this	
  is	
  that	
  
the	
  horizontal	
  mo4on	
  of	
  the	
  coin	
  does	
  not	
  affect	
  
downward	
  mo4on	
  of	
  the	
  coin.	
  
Observations	
  from	
  the	
  Lab	
  
§ Intui4on	
  will	
  tell	
  you	
  that	
  the	
  
horizontally	
  launched	
  object	
  will	
   hang 	
  
in	
  the	
  air.	
  
§ But…	
  
•  YOUR	
  INTUITION	
  (at	
  least	
  in	
  this	
  case)	
  IS	
  
WRONG!	
  
§ Here s	
  a	
  video	
  
§ Here’s	
  another	
  video	
  
Observations	
  from	
  the	
  lab	
  
The	
  4tle	
  of	
  this	
  slide	
  says	
  it	
  all:	
  
horizontal	
  and	
  ver4cal	
  mo4on	
  are	
  
independent	
  of	
  each	
  other	
  –	
  even	
  
when	
  they	
  are	
  happening	
  at	
  the	
  same	
  
4me!	
  
	
  
So…let s	
  get	
  back	
  to	
  the	
  ques4on:	
  
Horizontal	
  and	
  Vertical	
  Motion	
  Don t	
  
Know	
  Each	
  Other	
  Exist!	
  
§ It	
  Doesn t!	
  
§ What	
  is	
  the	
  only	
  factor	
  (besides	
  air	
  
resistance,	
  which	
  we	
  are	
  ignoring)	
  that	
  
DOES	
  affect	
  the	
  *me	
  it	
  takes	
  a	
  
horizontally-­‐launched	
  projec*le	
  to	
  reach	
  
the	
  ground?	
  
§ How	
  high	
  off	
  the	
  ground	
  the	
  object	
  is.	
  
How	
  does	
  initial	
  velocity	
  affect	
  the	
  time	
  it	
  
takes	
  a	
  horizontally-­‐	
  launched	
  projectile	
  to	
  
reach	
  the	
  ground? 	
  
Revisit	
  Our	
  Thinking	
  
A B C	
  
Which	
  path	
  will	
  
the	
  ball	
  follow?	
  
1.	
  If	
  a	
  bullet	
  is	
  fired	
  horizontally	
  from	
  a	
  gun	
  at	
  the	
  same	
  
instant	
  a	
  bullet	
  is	
  dropped	
  from	
  gun	
  barrel	
  height,	
  which	
  
bullet	
  hits	
  the	
  ground	
  first?	
  Explain	
  your	
  answer	
  in	
  terms	
  of	
  
horizontal	
  and	
  ver*cal	
  velocity,	
  and	
  gravity	
  
Reflection	
  
2.	
  Sketch	
  the	
  drawing	
  on	
  the	
  right.	
  Explain	
  
the	
  significance	
  of	
  the	
  coins	
  being	
  at	
  the	
  
same	
  height	
  at	
  each	
  instance	
  AND	
  the	
  
significance	
  of	
  the	
  increasing	
  distances	
  
between	
  the	
  “strobe	
  photo.”	
  ADV:	
  if	
  the	
  table	
  
is	
  5m	
  high,	
  how	
  long	
  are	
  the	
  coins	
  in	
  the	
  air?	
  
§  The	
  ver4cal	
  posi4on	
  of	
  a	
  projec4le	
  
constantly	
  changes,	
  though.	
  
•  Why?	
  
•  The	
  constant	
  force	
  of	
  gravity.	
  
§  As	
  the	
  projec4le	
  rises,	
  it	
  slows	
  down.	
  As	
  it	
  
falls,	
  it	
  speeds	
  up.	
  
§  The	
  change	
  in	
  velocity	
  is	
  ALWAYS	
  9.8	
  m/s	
  
every	
  second.	
  (9.8	
  m/s2)	
  
Motion	
  of	
  Every	
  Object	
  
§ Any	
  projec4le	
  travels	
  horizontally	
  and	
  
ver4cally.	
  
§ Ignoring	
  air	
  resistance,	
  the	
  horizontal	
  
velocity	
  remains	
  the	
  same	
  
•  REMEMBER:	
  force	
  doesn’t	
   run	
  out 	
  and	
  
the	
  law	
  of	
  iner4a	
  says	
  objects	
  in	
  mo4on	
  
remain	
  in	
  mo4on	
  at	
  the	
  same	
  speed	
  and	
  
direc4on	
  unless	
  a	
  net	
  force	
  is	
  applied.	
  
Motion	
  of	
  Every	
  Object	
  
§  To	
  keep	
  the	
  math	
  super	
  simple,	
  let s	
  round	
  
the	
  change	
  in	
  velocity	
  to	
  10	
  m/s2	
  
§  If	
  a	
  projec4le	
  is	
  thrown	
  straight	
  up	
  at	
  40	
  m/
s,	
  its	
  velocity	
  will	
  decrease	
  by	
  10	
  m/s	
  every	
  
second.	
  
§  At	
  the	
  top	
  of	
  its	
  path,	
  its	
  velocity	
  is	
  0	
  m/s…	
  
•  but	
  immediately,	
  the	
  object	
  begins	
  to	
  fall	
  back	
  
to	
  earth	
  where	
  its	
  velocity	
  will	
  increase	
  by	
  10	
  
m/s	
  every	
  second.	
  
Motion	
  of	
  Every	
  Object	
  

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Projectile Motion Part 1

  • 1. §  Today,  we  will   •  Conduct  an  Inves4ga4on   •  Take  some  notes   •  Write  a  short  reflec4on  about  what  we   learned   §  Please  Do  Now:   •  get  your  lab  notebook   •  get  out  something  to  write  with   Good  Morning!  
  • 2. §  How  does  ini*al  velocity  affect  the  *me  it   takes  a  horizontally-­‐  launched  projec*le  to   reach  the  ground?   §  Take  a  few  moments  and  read  pg  174  –  175   in  your  text.  As  you  read,  be  thinking  about:   •  what  materials  will  you  be  using   •  how  the  lab  will  help  you  answer  the  ques4on   •  what  your  hypothesis  will  be   Today s  Investigation  
  • 3. § Turn  to  the  first  clean  page  in  your  lab   notebook  and  4tle  it,   Chpt  2.  Sec  4  -­‐   Projec4le  Mo4on,  part  1   •  Don t  forget  to  make  an  entry  in  your   table  of  contents   § Copy  the  ques4on  down  at  the  top  of   your  new  page   How  does  ini*al  velocity  affect  the  *me  it   takes  a  horizontally-­‐  launched  projec*le  to   reach  the  ground?  
  • 4. § Form  a  hypothesis  that  addresses  the   lab  ques4on.   •  remember:  a  hypothesis  is  an   if then   statement  –  and  if  you re  feeling   par4cularly  smart  today,  add  a   because   statement  aSer  the   then   Projectile  Motion,  Part  1  
  • 5. § We re  going  to  split  the  lab  into  two   parts.  Your  group  will  have  20  minutes   to  complete  Part  A  of  the  lab  (#1  –  4)   Time  for  the  Lab!  
  • 6. § We’ll  get  back  to  the  lab  before  the   end  of  the  period  –  so  leave  your  lab   notebook  out  and  OPEN   § For  now,  get  out  your  spiral  for  notes   and  a  clean  sheet  of  notebook  paper   for  your  predictions/reAlection   Time  for  Notes  
  • 7. It s  as  easy  as  rolling  off  a  cliff…  
  • 8. § If  this  red  ball  had  a  net   force  to  the  right  applied   to  it  and  rolled  off  the  cliff   at  a  constant  speed,  what   would  its  path  look  like?   Make  a  Prediction  
  • 9. Predict   A B C   Which  path  will   the  ball  follow?  
  • 10. § Determine  which  path  you  believe  the   ball  will  follow  AND  WHY.  Write  your   predic4on  on  a  clean  sheet  of  paper  –   we  will  be  adding  to  this  at  the  end  of   this  lesson,  so  keep  it  neat!  J   Prediction  
  • 11. A B C   A  few  years  ago,   researchers  went   to  elementary,   middle,  and  high   schools  as  well  as   universities  and   showed  students   this  image  and   asked  them,     Ignoring  air  resistance,  which  of  the  following   correctly  shows  what  an  object  would  do  if  it  rolled   off  a  cliff?  
  • 12. §  The  breakdown  of  answers  they  got  was  almost  exactly   the  same  at  all  ages.   §  About  60%  said  number  1  was  correct.  The  object  will   stop  in  midair,  and  then  start  to  fall  straight  down.   because  some  people  referred  to  the  coyote  in  cartoons,   the  researchers  called  it  the  Wile  E.  Coyote  Effect.     §  About  25%  said  number  2  was  correct.  The  object  will   move  forward  at  first,  but  will  eventually  just  fall  straight   down.   §  About  15%  answered  number  3.  The  object  will  con4nue   to  move  forwards  the  en4re  4me  it  is  falling.     The  Results  
  • 13. § I m  not  going  to  tell  you.  We ll  revisit   the  ques4on  at  the  end  of  these  notes.   J   So  What s  the  Correct  Answer?  
  • 14. §  Both  coins  fall  the   same  amount   ver4cally  in  the   same  amount  of   4me.   §  The  projected  coin   also  moved  to  the   right;  but  it  fell   downward  at   exactly  the  same   rate  as  the  dropped   coin.   Observations  from  the  lab   In  your  notes,   sketch  what   the  motion  of   these  two   coins  must   have  looked   like  
  • 15. §  As  we  saw  with  the  coin  launcher,  both  coins  –  the   one  that  fell  straight  down  and  the  one  that  was   flung  out  horizontally  -­‐  hit  the  ground  at  the  same   4me.   §  So  what  effect  did  horizontal  velocity  have  on  the   4me  it  took  (the  downward  mo4on)  the  coin  to  hit   the  ground?   §  The  best  conclusion  we  can  make  from  this  is  that   the  horizontal  mo4on  of  the  coin  does  not  affect   downward  mo4on  of  the  coin.   Observations  from  the  Lab  
  • 16. § Intui4on  will  tell  you  that  the   horizontally  launched  object  will   hang   in  the  air.   § But…   •  YOUR  INTUITION  (at  least  in  this  case)  IS   WRONG!   § Here s  a  video   § Here’s  another  video   Observations  from  the  lab  
  • 17. The  4tle  of  this  slide  says  it  all:   horizontal  and  ver4cal  mo4on  are   independent  of  each  other  –  even   when  they  are  happening  at  the  same   4me!     So…let s  get  back  to  the  ques4on:   Horizontal  and  Vertical  Motion  Don t   Know  Each  Other  Exist!  
  • 18. § It  Doesn t!   § What  is  the  only  factor  (besides  air   resistance,  which  we  are  ignoring)  that   DOES  affect  the  *me  it  takes  a   horizontally-­‐launched  projec*le  to  reach   the  ground?   § How  high  off  the  ground  the  object  is.   How  does  initial  velocity  affect  the  time  it   takes  a  horizontally-­‐  launched  projectile  to   reach  the  ground?  
  • 19. Revisit  Our  Thinking   A B C   Which  path  will   the  ball  follow?  
  • 20. 1.  If  a  bullet  is  fired  horizontally  from  a  gun  at  the  same   instant  a  bullet  is  dropped  from  gun  barrel  height,  which   bullet  hits  the  ground  first?  Explain  your  answer  in  terms  of   horizontal  and  ver*cal  velocity,  and  gravity   Reflection   2.  Sketch  the  drawing  on  the  right.  Explain   the  significance  of  the  coins  being  at  the   same  height  at  each  instance  AND  the   significance  of  the  increasing  distances   between  the  “strobe  photo.”  ADV:  if  the  table   is  5m  high,  how  long  are  the  coins  in  the  air?  
  • 21. §  The  ver4cal  posi4on  of  a  projec4le   constantly  changes,  though.   •  Why?   •  The  constant  force  of  gravity.   §  As  the  projec4le  rises,  it  slows  down.  As  it   falls,  it  speeds  up.   §  The  change  in  velocity  is  ALWAYS  9.8  m/s   every  second.  (9.8  m/s2)   Motion  of  Every  Object  
  • 22. § Any  projec4le  travels  horizontally  and   ver4cally.   § Ignoring  air  resistance,  the  horizontal   velocity  remains  the  same   •  REMEMBER:  force  doesn’t   run  out  and   the  law  of  iner4a  says  objects  in  mo4on   remain  in  mo4on  at  the  same  speed  and   direc4on  unless  a  net  force  is  applied.   Motion  of  Every  Object  
  • 23. §  To  keep  the  math  super  simple,  let s  round   the  change  in  velocity  to  10  m/s2   §  If  a  projec4le  is  thrown  straight  up  at  40  m/ s,  its  velocity  will  decrease  by  10  m/s  every   second.   §  At  the  top  of  its  path,  its  velocity  is  0  m/s…   •  but  immediately,  the  object  begins  to  fall  back   to  earth  where  its  velocity  will  increase  by  10   m/s  every  second.   Motion  of  Every  Object