Question

A plane flies on a heading of N50 degrees East at a constant speed of 450 km/h. If the velocity of the wind is 70 km/h on a bearing of S30 degrees East,
what is the velocity (speed and direction) of the plane with respect to the ground?
a general solution to this problem...

a plane flies on a heading of θ with speed v with a wind blowing from the direction Ø with speed w.
The resultant vector z is
z = <z<sub><sub>x</sub></sub>,z<sub><sub>y</sub></sub>> = <v sinθ,v cosθ> - <w sinØ,w cosØ>
in the direction arctan(z<sub><sub>x</sub></sub>/z<sub><sub>y</sub></sub>)
Now plug in your numbers.
oops. arctan(z<sub><sub>y</sub></sub>/z<sub><sub>x</sub></sub>)

Related Questions

This has to do with vectors...I'm wondering if I set up the diagram correctly? A plane has a spee... A plane has a speed of 250mph and flies with a bearing of N35degE. The wind is blowing from the west... Bob has a helicopter from the launch pad he flies the following path. First he travels from the laun... A plane flies on a heading of S60 degrees East at a constant speed of 550 km/h. If the velocity of t...