Question

80 mpli po mph 45 45 - 590 mph 590 mph 28 N N 28 w w (b) Write the velocity of the wind as a vector in componentform 80(cos(45), sin(45°)] (c) Write the velocity of the jet relative to the air in componentform 590( cos(118°), sin ( 118°)] (d) What is the speed of the jet with respect to the ground? (Round your answer to one decimal place.) 2410.37 X mph (e) What is the true direction of the jet? (Round your answer to one decimal place.) N w

Answer 1

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diagram sgomen 289 45° 332° any vector can be enpressed as lulllloso) e + 1 vil Crino)t. wind = 80(60345)i + 80 (sin45) J In component form 80(2345sinas) & wind 122) 2 360°-332° +90 = 28° + 90° = 11.8° Vjetain 590 CB( 118°) i + 550 sin(118) j In component taim serair - 590 (Coll8 sini 18) To find Pout the speed, we must first bond fe velocity we must add the relocity of the airplane in the wind. To do to that, d the airplane and the velocity a the wind together. So Vground wird selan = 80100345, sinas) +590C3118usinilso) - (56-5685,56.5685) + (-276.988, 520:939) (-220.9195, 577.50758) So, speed of the set ww.l. Rhe ground b = V(220-41955'7 (577-5075) mph 618-142111 mph ~ 618-1 mph. fano = 577.50758 -220.4195 O-69.109459° 23.60-69. 10945° 290.89 osso Hope this helpsyar! Thank you.