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.
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.