Please answer part a and part b (10%) Problem 6: An aircraft flying from Cairns,
ID: 1873949 • Letter: P
Question
Please answer part a and part b
(10%) Problem 6: An aircraft flying from Cairns, Australia, has an air speed of 254 ms in a direction 50° south of west. It is the jet stream, which is blowing at 32 m/s in a direction 15° south of east. In this problem you are going to be asked about the velocity of the airplane relative to the Earth. > 50% Part (a) What is the magnitude of the velocity of the airplane relative to the Earth in m s? VPG sin0 tan() | ( 7 8 9 cosO cotan0asin acos0 atan0 acotan sinhO cosh0 tanh cotanh0 *12 3 END Degrees Radians NO CLEAR Submit Hint I give up! Hints: 000 deduction per hint. Hints remaining: 5 Feedback: 0% deduction per feedback. 50% Part (b) What is the angle of the velocity of the airplane relative to the Earth in degrees? Give the angle S of WExplanation / Answer
East component of wind speed = (cos 15) x 32 = 30.9 m/sec.
South component = (sin 15) x 32 = 8.3 m/sec.
West component of plane's speed = (cos 5) x 254 = 253 m/sec.
South component = (sin 5) x 254 = 22.1 m/sec.
Net west component = (253 – 30.9) = 222.1 m/sec.
South component = (8.3 + 22.1) = 30.4 m/sec.
a) Velocity with respect to ground = sqrt. (222.1^2 + 30.4^2) = 224.2 m/sec.
b) Direction = arctan (30.4/222.1) = 7.8º south of west.