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

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

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

mathew0135
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.0\[\mathrm du=w\cdot\sin wt\,\mathrm dt\]
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