$(7\%)$Problem$6$: An airplane is flying in a jet stream of air that is blowing at$34$ms$$in a direction$20$south of east with respect to the Earth.

The plane is moving at$45$South of West relative to the Earth, and at$5$South of West relative to the air.

$50\%$Part$($a$)$What is the airplane's speed relative to the air mass in meters per second?

vpa$=$l$,$select part$$ms

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$50\%$Part$($b$)$What is the airplane's speed relative to the Earth in meters per second?