070.44 points. Answers WilPCalc1 9.5.016 My Notes Ask Yo The heading from Minnea
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070.44 points. Answers WilPCalc1 9.5.016 My Notes Ask Yo The heading from Minneapolis, Minnesota, to Las Angeles, California, is E 249 N.t Suppase an airplane is flying from Minneapolis to Las Angeles at a speed of 5B5 miles per hour at a fixed altitude with no wind factor. As the plane reaches a certain point, it encounters wind with a velocity of 48 miles per hour in the direction E 30 N. (a) Express the velocity of the wind, W, and the velocity of the airplane, A, as a vector. (Round your answers to two decimal places (b) Sketch the resultant vector produced by the sum of A and W. 500 -100 500 300 300 00 500 000 50 200 2000 250 2500Explanation / Answer
a) velocity of wind = 48 miles / hour E 30 N
w = 48 cos 30 i + 48 sin 30 j
w = 41.57 i + 24j
A = 585 cos 249i + 585 sin 249 j
A = -209.65i - -546.14 j
b) resultant velocity
v = ( 41.57 - 209.65) i + ( 24 - 546.14) j
v = -168.08 i - 522.14 j
c) resultant speed = sqrt ( (-168.08)^2 + (-522.14)^2
s = 548.53 mph
d) resultant direction
tan^-1 ( -522.14 / -168.08)
= 72.16
180 + 72.16 = 252.16
resultant direction is E 252.16 N
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