## Related questions with answers

Question

If airplanes A and B are moving southwest with speed |VA|=550 mph, and north-west with speed |VB|=450 mph, respectively, what is the relative velocity V=VB-VA of B with respect to A?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

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1 of 4We put them in the $xy$-plane, where positive $x$-semiaxis represents east, while positive $y$-semiaxis represents north. Thus, the velocities of airplanes are given by the following sketch (the angle between $\mathbf{v_B}$ and negative $x$-semiaxis is $45^{\circ}$ since $B$ is moving northwest):

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