A cyclist travelling east at 8 km/hr finds that the wind appears to blow directly from the north. On doubling his speed it appears to blow from the north-east.. Find the actual velocity of the wind.[/B]
Wind(relative) = Wind(Actual) - Velocity(cyclist)
The Attempt at a Solution
I am completely stuck on this. I do know that there is a (16, 0) vector for the velocity of the cyclist, and a vector of -a(cos(45 deg), sin(45 deg)), which represents the relative, or perceived wind.
Slotting this into the relative wind equation,
Wind(r) = Wind(a) - Vel(cyclist)
-a*cos(45 deg) = Wx - 16
-a*sin(45 deg) = Wy
I'm not sure if this is even on the correct track.
Any trips highly appreciated.