# Thread: Relative Velocity

1. ## Relative Velocity

To a cyclist riding on bearing 090 True bearing at 25 km/h the wind appears to blow a t 20 km/h towards 305 T.
What is the true speed and direction of the wind? (Answer is 14.347 km/h, 028 True bearing)

I don't know how to solve this question. Would someone kindly please draw a vector diagram and explain it to me how to solve this question.

2. ## Re: Relative Velocity

I agree with the magnitude, but not the direction of the true wind given in your solution.

True wind vector - rider velocity vector = apparent wind vector

True wind vector = apparent wind vector + rider velocity vector

using components ...

$W_T = [-20\cos(35)i + 20\sin(35)j] + (25i + 0j)$

$|W_T| = 14.347$ km/hr

$\theta = 53^\circ \,$ N of E ... true direction is 037