physics grade 11 (vector)
posted by lawrence .
An airplane is flying 400 km/h west. There is a wind blowing 100 km/h NE. What is the airplane's actual speed and heading?

break the NE into N, and E components. Then add to the W (W=E)
Recombined into one vector. 
ANONYMOUS

Vpw = Vp + Vw = 400 + 100[45o] =
400 + 100*Cos45 + 100*sin45 =
400 + 70.7 + 70.7i=329.3 + 70.7i(Q2) =
337(12.12o) = 337[12.12+180] =
337km/h[168o]. = 337km/h[78o] W. of N.
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