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 one year ago
A particle moves on a straight line v(t)=sinwt cos ^{3} wt. find the position s(t) if s(0)=0.
I've done this style of question before, but the two variables throw me off.
I assume that u=cos(wt) but am unsure.
 one year ago
A particle moves on a straight line v(t)=sinwt cos ^{3} wt. find the position s(t) if s(0)=0. I've done this style of question before, but the two variables throw me off. I assume that u=cos(wt) but am unsure.

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mathew0135
 one year ago
Best ResponseYou've already chosen the best response.0\[ \int\limits_{?}^{?} (u)^{3} du\]

mathew0135
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 1 }{ 4 } (u)^{4} +c\]

mathew0135
 one year ago
Best ResponseYou've already chosen the best response.0\[ \frac{ (coswt)^{4} }{ 4 } +c\] then insert s(0)=0 so..... \[ \frac{ (cosw(0))^{4} }{ 4 } +c\]=0 ... but w is still an unknown...

mathew0135
 one year ago
Best ResponseYou've already chosen the best response.0woooooooo no idea whats going on....

mathew0135
 one year ago
Best ResponseYou've already chosen the best response.0unless cosw(0)=0... then c=0... yeah i'm confused, doesn't seem right.

sirm3d
 one year ago
Best ResponseYou've already chosen the best response.0\[\mathrm du=w\cdot\sin wt\,\mathrm dt\]
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