Question

2. A plane flies directly north from city A to city B at a resultant speed of 400 mi/hr. The wind blows at 80 mi/hr directly from the west. (a) (5 points) Make a careful sketch showing the direction the plane has to fly to get to city B. (b) (10 points) What must be the speed and direction of the plane relative to the air to arrive at City B? Vx = 80 cos 90.0 Vy=80 sin 90 = 80 o prih R=0 i +80) = 80 400 millhr V so, milho windy VO Iuel FR + V = √(400) + (807² Buton" (). A to cosit tano -

Answer 1

solution po = Up) - Vaira 190 - 8omilor where Op la velocity of Polone with respect to ground Daina = Velocity of air wirt Ground Opo = velocity of plane wont air - B 400mlar (8) G = 400 milna (Dair) a = do millo i Jo = Acromilor Î - Pomilna i JP = - 80 milto i + 4 co milne i Part(b): speed of the plane relative to air Upo 1 = √(-808+ (460)2 TŪPI = 16400 + 160000 livool = 407. ga miltr - dirletion o= tan (1) TO= 11.3099 w of North.

0 OR = 96 + 11.31 9 = 101.3° of air from the direction of flow in anticlockwise. sense.