# Problem: An airplane is flying in a jet stream that is blowing at 46 m/s in a direction 20° south of east. The plane is moving at 45° South of West relative to the Earth, and at 5° South of West relative to the air.Part (a) What is the airplane’s speed relative to the air mass?Part (b) What is the airplane's speed relative to the Earth in m/s?

###### FREE Expert Solution

Part (a)

Let v1 be the velocity of the plane relative to the air mass and v2  be the velocity of the plane relative to the earth.

Relating to earth component:

The north component

v2sin(180°+45°) = v1sin(180°+5°) + (46)sin(360°-20°)

v2 =  [v1sin(185°) - 15.73]/sin (225°)

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###### Problem Details

An airplane is flying in a jet stream that is blowing at 46 m/s in a direction 20° south of east. The plane is moving at 45° South of West relative to the Earth, and at 5° South of West relative to the air.

Part (a) What is the airplane’s speed relative to the air mass?

Part (b) What is the airplane's speed relative to the Earth in m/s?