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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
 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
 one year ago

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mathew0135Best ResponseYou've already chosen the best response.0
\[ \int\limits_{?}^{?} (u)^{3} du\]
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
\[\frac{ 1 }{ 4 } (u)^{4} +c\]
 one year ago

mathew0135Best 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...
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
woooooooo no idea whats going on....
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
unless cosw(0)=0... then c=0... yeah i'm confused, doesn't seem right.
 one year ago

sirm3dBest ResponseYou've already chosen the best response.0
\[\mathrm du=w\cdot\sin wt\,\mathrm dt\]
 one year ago
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