A plane can travel with a speed of 80 mi/hr with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a:

10 mi/hr cross wind;
60 mi/hr cross wind;
10 mi/hr tailwind;
10 mi/hr headwind.

I have no idea what equation to use to solve each of these?

1 answer

1. X = 10 mi/h.
Y = 80 mi/h.
Vr = Sqrt(X^2 + Y^2).

2. Same Procedure as #1.

3. Vr = Vp + Vw = 80 + 10 = 90 mi/h.

4. Vr = Vp + Vw = 80 + (-10) = 70 mi/h.