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can you help me find the speed of the airplane?

 Apr 18, 2018
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can you help me find the speed of the airplane?

 

\(\begin{array}{|rcll|} \hline \vec{P} &=& \binom{300}{0} \\ \vec{W} &=& \binom{-35\cdot \cos(75^{\circ})} {-35\cdot \sin(75^{\circ})} \\\\ \vec{R} &=& \vec{P} + \vec{W} \\ &=& \binom{300}{0} + \binom{-35\cdot \cos(75^{\circ})} {-35\cdot \sin(75^{\circ})} \\ &=& \binom{300-35\cdot \cos(75^{\circ})}{-35\cdot \sin(75^{\circ})} \\ &=& \binom{300-9.05866657859}{-33.8074039201} \\ &=& \binom{290.941333421}{-33.8074039201} \\\\ |\vec{R}| &=& \sqrt{290.941333421^2+(-33.8074039201)^2} \\ &=& \sqrt{84646.8594930+1142.94055982} \\ &=& \sqrt{85,789.8000528} \\ &=& 292.898958777 \\ \hline \end{array}\)

 

The resulting speed of the airplane is \( 292.9\ \dfrac{km}{h}\)

 

laugh

 Apr 18, 2018

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