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Consider an airplane that normally has an airspeed of 120 km/h in a 75 km/h crosswind blowing from west to east. Calculate its ground speed when its nose is pointed north in the crosswind.

____ km/h

Mar 2nd, 2015

Since the velocity v_1 of the airplane relative to air is perpendicular to the velocity v_2 of the air relative to Earth,

the ground speed is v = sqrt{v_1^2 + v_2^2} = sqrt{120^2 + 75^2} = sqrt{20025} = 141 km/h.

Mar 18th, 2015

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