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mathslover
 2 years ago
What is \[S_n  S_{n1}\]
mathslover
 2 years ago
What is \[S_n  S_{n1}\]

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jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2\[S= ut +\frac{ 1 }{ 2 }a t^2\] use this and you are done , put t= n and t= n1

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2there will be two equations

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0right and we get : \[\large{S_n = u + \frac{a(2n1)}{2}}\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0but can we prove that : \[S_n  S_{n1}=S_n\] ?

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2No because \[S _{n}\] is the distance traveled in nth second and S(n1) is the distance traveled in (n1) seconds, how could their difference be equal to distance traveled in n seconds ... think :)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0yes very correct but the formula says S_n = u + a(2n1)/2

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Oh! OK, so it is S_nth = u + a(2n1)/2 ?

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348928718064:dw

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@mahmit2012 it's physics i guess

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0s= displacement, sorry for telling later.

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@mathslover shall i derive the whole equation?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0no no I had done that

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2okay then where are you stuck?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0just confirm me that : \[\large{S_{n^{th}}= u + \frac{a(2n1)}{2}}\]

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2for all sequences you can use that.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0@mahmit2012 how can s_n = a _1 + .... + a_n? I hope you are taking s = displacement and a = acceleration and n = seconds

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2so if Sn is meant the nth distance for a traveling with constant acceleration you can use it.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Oh, k thanks @jasonxx I was just confused with nth and n seconds. :) Well, now I am interested to learn something new from mahmit2012. I am sure he has a good reaso for his solution

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Any example or more explanation @mahmit2012 ?Please?

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@mahmit2012 for all sequence but does it look like that this formula makes a proper sequence ? if a body is accelerated it won't be covering equal distance under under different time interval, still if you think you're right i would love to see that ...and @mathslover you're welcome

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348929066588:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348929143480:dw

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0I have no words to say :(

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@mahmit2012 this is what is being done by @mathslover

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348929260691:dw

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2can distance vary according to a sinusoidial function ??

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2and so on...you can have many answer for all motions.

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2can distance vary as per the sine rule ? if yes can you give an example i'll be very thankful

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2don't mention this body moving on this path dw:1348929527820:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348929615864:dw

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@mahmit2012 i'll try my best to understand your explanation but i am not sure how the function of distance is in the form of sine, which is traveling on a straight line ..thank you

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2and what you've done is just a differentiation of S= A sin wt twice

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@mahmit2012 brother i just need an example of the motion, a real life example and i don't think we need to bring fourier series whilst dealing with kinematics

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2All motions are related with Forier series. In one dimension or more.

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@demitris i am sure you can elaborate

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348929928139:dw

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2concept of fourier series looks good whilst dealing with electric current and voltage, i am sure and i agree you have a good point

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2this is the simplest motion and has just one w. for all motions you can have infinity frequencies.

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@demitris do you agree what @mahmit2012 has said? i'll be thankful if you could help to know further

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@mathslover is bugged lol

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0No worries, I will catch this with a helicopter soon :) This all is going over my head but still helicopter will catch it for sure ;)

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2well it says, what is the value of the difference of the distance traveled by a body in n seconds and n1 seconds in context of classical mechanics

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@demitris i think if i'll keep you providing conditions i am sure it will take way too long and yes u is initial velocity, have mercy please :)

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2@demitris that has already been done thanks for your work tho

jasonxx
 2 years ago
Best ResponseYou've already chosen the best response.2yes ..but the logic provided by 2mahmit2012 was having some fallacy i asked you to check that out ..but thanks for your concern
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