A plane flies at a speed of 250 km/h relative to still air. There is a wind blowing at 80 km/h in the northeast direction. (That is 45 degrees to the east of north) a) In what direction should the plane head so as to fly due north? b) What is the speed of the plane relative to the ground?

Glencoe Physics: Principles and Problems, Student Edition
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Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
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A plane flies at a speed of 250 km/h relative to still air. There is a wind blowing at 80 km/h in the
northeast direction. (That is 45 degrees to the east of north)
a) In what direction should the plane head so as to fly due north?
b) What is the speed of the plane relative to the ground? 

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