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An airplane travels east at an air speed of 400.0 m/s into a head wind of 35.0 m/s. What is the airplane's ground speed?

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Velocity of the plane relative to the air = +400.0 m/s

Velocity of the air relative to the ground = -35.0 m/s (negative because it's moving opposite to the eastward direction)

Velocity of the plane relative to the ground = (velocity of the plane relative to the air) + (velocity of the air relative to the ground) = 365.0 m/s to the east

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