+0

# can you help me find the speed of the airplane?

0
305
1

can you help me find the speed of the airplane?

Apr 18, 2018

#1
+22273
+1

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 $$292.9\ \dfrac{km}{h}$$

Apr 18, 2018