Velocity of Wind

lia

The question said that the airplane turned west for 255km/h, and the resultant was 225km/h South 70 degrees West. I have to find the wind direction and velocity. How?

OlderDan

If v is the velocity of the wind and V is the velocity of the airplane relative to the wind then the resultant R is

R = v + V

where everything in bold is a vector. To find v subract V from both sides of the equation and do the vector subtraction. That is equivalent to adding -V to R. -V is the same length as V but in the opposite direction.