Ultralight plane in the wind Joanne is flying her ultralight airplane. Her air s

Question

Ultralight plane in the wind Joanne is flying her ultralight airplane. Her air speed is 25.0 m/s. Her plane is pointed south. Her friend Alex is monitoring her progress from the ground. Alex sees the plane traveling 20.0 m/s, 12 degrees east of south.
Part A What is the component of the wind's velocity to the north? This answer must be much more precise than the answer in part B.
Part B What is the component of the wind's velocity to the east? This answer must be much more precise than the answer in part B.
= m/s

Explanation / Answer

A )

V plane = -25 j

Vplane - Vair = 4.15 i - 19.56 j

Vair = -29.15 i + 19.56 j

magnitude = 35.104 m/s

direction = 33.86 degrees north of west

component of the wind's velocity to the north = 19.56 j m/s

component of the wind's velocity to the east = - 29.15 i m/s

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