Physics Question?

Question

I am so lost in this class...if anyone knows how to do this I would really appreciate it. Thanks=]

QUESTION:
You're a pilot on an aircraft carrier. You must fly to another aircraft carrier, now 1450 km at 45 degrees of your position, moving 56 km/h due east. The wind is blowing from the south at 72km/h. Calulate the heading and air speed needed to reach the carrier 2.5h after you take off....HINT: Draw a displacement vector diagram.

Answer 1

Something that is missing is the exact position of the other carrier. 45 degrees is not enough as it represents four quadrants in space. Let's assume that the other carrier is located at 45 degrees north east of the starting point.

V= Vx +Vy (vector expression)
Vx= Vx(aircraft) - Vx(carrier)
Vy= Vy(aircraft) + Vy(wind)

Vx(aircraft)= Dx)/t +Vx(carrier)
Vy(aircraft) =Dy/t-Vy(wind)

And in this case Dx=Dy = 1450 cos(45)
Vx(aircraft)= Vx +Vx(carrier)