I like the idea of adding CS, But a Virtual Training Jacket Or Certificates that you could print would be awesome. This would be Invaluable to Those without access to Traditional Education. If you would like to see the A.C.E. consider KA send an E-mail to: comments@ace.nche.edu
I'm actually curious IF 45 degrees is the ideal angle. In this case, the angle comes into play both to clear the green monster and to counter gravity. Though, as we know from ballistics, at a high enough velocity and a target close enough less force is required with a flatter trajectory. I'm quite sure that with some proper optimization the actual angle would be closer to 40. Of course, that is still not considering any spin the ball may have.
ahh fenway. made learning a bit more interesting but still when does a baseball player ever think of all this when he's hitting? haha anyways good video
I hope that once you finish with these new elementary classical physics videos that you move to more advanced classical mechanics.. and maybe even quantum mechanics?
@imaginenoreligion Yes, the optimal angle is 0.73196 radian (41.9382 degrees), and the required speed then becomes 32.3595ms^-2, rather than the 32.5 Sal concludes in the second part when he solves for 45 degrees. It's not a very significant difference.
wolfram alpha: y = s*(x/(sin(θ)*s))*cos(θ) - (g*(x/(sin(θ)*s))^2)/2 where x = 96, y = 10.3, g = 9.8
@puddingpimp of course in this case the difference is ~0.4%, smaller than other effects like drag that need to be taken into account in the real world.
So if I knew the exact position acceleration and velocity of every particle I could with a super computer know the future? You have to do some videos on chaos and uncertainty. You're great I have to donate!
I try to hate Fenway because I hate everything Red Sox, BUT THIS IS STILL A GREAT VIDEO.
I am a motorcity man and I hope that Detroit keeps this AL Central lead, but we'll see after All-Star break, you never know with Detroit during that time.
THERE ARE NO METERS IN FENWAY!
77montrose 5 months ago
Baseball is measured in feet, not meters.
RantVideoPhone 5 months ago
@RantVideoPhone science and math use metric. and this is a physics video.
dala555 1 month ago
this if fucking brilliant -- using real world scenarios to illustrate physics!! LOVE YOU KHAN!
hydrolist1 5 months ago
why do you write Displacement as S? What does the S stand for?? Why not write D?
fosheimdet 7 months ago
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I like the idea of adding CS, But a Virtual Training Jacket Or Certificates that you could print would be awesome. This would be Invaluable to Those without access to Traditional Education. If you would like to see the A.C.E. consider KA send an E-mail to: comments@ace.nche.edu
Risikokapitalgeber 8 months ago
I'm actually curious IF 45 degrees is the ideal angle. In this case, the angle comes into play both to clear the green monster and to counter gravity. Though, as we know from ballistics, at a high enough velocity and a target close enough less force is required with a flatter trajectory. I'm quite sure that with some proper optimization the actual angle would be closer to 40. Of course, that is still not considering any spin the ball may have.
weckar 8 months ago
so boring....wow sports
scout6686 8 months ago
i'm so glad i'm a poly sci major
hitch4645 8 months ago
@hitch4645 until you try to find a job
LuckyCharms432 8 months ago 2
@LuckyCharms432 touche
hitch4645 8 months ago
Khan, you forgot to add a randomization factor (beta/alpha) that takes into account the additional force due to the use of STEROIDS by athletes.
Cascade3891 8 months ago 13
@Cascade3891 lol.
f00tballfever 8 months ago
ahh fenway. made learning a bit more interesting but still when does a baseball player ever think of all this when he's hitting? haha anyways good video
SuhDeokHae 8 months ago
First time Ive ever fallen asleep watching youtube :)
FriggnDiggn 8 months ago
I hope that once you finish with these new elementary classical physics videos that you move to more advanced classical mechanics.. and maybe even quantum mechanics?
Zellonium 8 months ago 2
@Zellonium Yes, I could have very much used the help!!
iRNatsoFatso 8 months ago
Would humidity play any real role in the calculations? Would you need more force to hit the ball as far if the humidity was 90% compared to 10%?
Just wondering if there is a significant difference in the amount of energy needed to hit the ball the same distance.
deadman12078 8 months ago
Comment removed
MixesAndStuff 8 months ago
8:00 you didn't write delta t *trollface*
mnmmoose14 8 months ago
@mnmmoose14 LOL @ "trollface" ahahahah
foeasy16 8 months ago
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@mnmmoose14 LOL @ "trollface" ahahahah
foeasy16 8 months ago
I think this is a simplified example. 45 degrees is NOT the optimal angle in this case.
45 degrees is only optimal when you are maximising range over flat ground.
I think you could hit the ball a little slower and still clear 'the green monster'.
imaginenoreligion 8 months ago
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@imaginenoreligion Yes, the optimal angle is 0.73196 radian (41.9382 degrees), and the required speed then becomes 32.3595ms^-2, rather than the 32.5 Sal concludes in the second part when he solves for 45 degrees. It's not a very significant difference.
wolfram alpha: y = s*(x/(sin(θ)*s))*cos(θ) - (g*(x/(sin(θ)*s))^2)/2 where x = 96, y = 10.3, g = 9.8
-> 10.3 = 96 cot(theta)-(45158.4 csc^2(theta))/s^2
wolfram alpha: minimum s for 10.3 = 96 cot(theta)-(45158.4 csc^2(theta))/s^2
puddingpimp 8 months ago
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@puddingpimp of course in this case the difference is ~0.4%, smaller than other effects like drag that need to be taken into account in the real world.
puddingpimp 8 months ago
go soxxxxxxxxxxxxxxxxxxxxxxxxxxx
xbox360degree 8 months ago
I never knew the Green Monster was that high! Would the same ideas apply if I was, say, shooting free throws or kicking field goals?
UltraMaXAtAXX 8 months ago
@UltraMaXAtAXX Yes they would, but when shooting free throws, the optimal angle is not 45 degrees because its better to have arc on the ball
laseism 8 months ago
who cares sox suck (go yankees)
jailisfornobody 8 months ago
So if I knew the exact position acceleration and velocity of every particle I could with a super computer know the future? You have to do some videos on chaos and uncertainty. You're great I have to donate!
cosmosgato 8 months ago
@cosmosgato you should look up "Laplace's demon" on wikipedia!
Anubispop2 8 months ago
@cosmosgato Heisenberg uncertainty principle, so no.
weckar 8 months ago
Nice video. Maybe you should add captions with links to these "previous videos" you mention, so people can find them easier? :)
94thts 8 months ago
I try to hate Fenway because I hate everything Red Sox, BUT THIS IS STILL A GREAT VIDEO.
I am a motorcity man and I hope that Detroit keeps this AL Central lead, but we'll see after All-Star break, you never know with Detroit during that time.
dcourtn1 8 months ago
wooo!
hairbrush9 8 months ago