Anjali's plane had been flying through calm skies (no wind) with a velocity (speed and direction) vector $\vec{v_1} = (400,100)$. Now, however, the air mass surrounding the plane is moving quickly ($i.e.$, it's windy). Although Anjali has not adjusted any of the controls in the cockpit, the plane's new velocity is $\vec{v_2} = (350, 50)$.
(Speeds are in kilometers per hour.)
**What is the speed of the wind?**
[[☃ numeric-input 1]] kilometer per hour
(Round your final answer to the nearest tenth.)
**In what direction is the wind blowing? Assume $0$ is the rightward direction.**
[[☃ numeric-input 2]] radians
(Round your final answer to two decimal places. Your answer should be between $0$ and $2\pi$.)
