Hey guys:
An airplane is flying at an airspeed of 500 km/hr in a wind blowing at 60 km/hr toward the southeast. In what direction should the plane head to end up going due east? What is the airplane's speed relative to the ground?
Thanks,
Peter
Hey guys:
An airplane is flying at an airspeed of 500 km/hr in a wind blowing at 60 km/hr toward the southeast. In what direction should the plane head to end up going due east? What is the airplane's speed relative to the ground?
Thanks,
Peter
did you make a sketch?
air vector + wind vector = ground vector
using the method of components ...
$\displaystyle A_x + W_x = G_x$
$\displaystyle 500\cos{\theta} + 60\cos(-45) = G\cos(0)
$
$\displaystyle A_y + W_y = G_y
$
$\displaystyle 500\sin{\theta} + 60\sin(-45) = 0$
finish it ... solve for $\displaystyle G$ and $\displaystyle \theta$