The nose of an ultralight plane is pointed south, and its airspeed indicator sho

Question

The nose of an ultralight plane is pointed south, and its airspeed indicator shows 35 m/s . The plane is in a 14 m/s wind blowing toward the southwest relative to the earth.

A)Letting x be east and y be north, find the components of v P/E (the velocity of the plane relative to the earth).

Express your answers using two significant figures separated by commas.

B)Find the magnitude of v P/E.

Express your answer using two significant figures.

C)Find the direction of v P/E.

Express your answer using two significant figures.

"CLEAR ANSWERS PLZ

Explanation / Answer

given,

velocity of plane = 35 m/s in south direction

velocity of wind = 14 m/s toward southwest

vertical conponent of the velocity = -35 - 14 * cos(45)

vertical conponent of the velocity = -44.899 m/s

horizontal component of the velocity = -14 * sin(45)

horizontal component of the velocity = -9.899 m/s

net velocity = sqrt(44.899^2 + 9.899^2)

magnitude of velocity = 45.977 m/s

direction = tan^-1(44.899 / 9.899)

direction = 77.57 degree south of west

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