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Question

# What speed and direction should the jetliner in Example $8$ have in order for the resultant vector to be $500 \mathrm{mph}$ due east?

Solution

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Let ${u}=\langle {x},\ {y}\rangle$ be represent the velocity of the plane alone,

${v}=\langle 70 cos 60^{{0}}, 70 \sin 60^{{0}}\rangle =\\\langle 35,\ 35\sqrt{3}\rangle$,

and let the resultant ${u}+{v}=\langle500,\ 0\rangle$.

Then \langle {x}$,\ {y}\rangle+\langle 35,\ 35$\sqrt{3}$\rangle=\langle 500, {0}\rangle \Rightarrow $\langle {x}$+35,\ {y}+35$\sqrt{3}$\rangle=\langle 500,\ 0\rangle\Rightarrow$

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