Motion in a plane

Question

An airplane pilot wants to fly from city A to city B which is 1000 km due north of city A. The speed of the plane in still air is 500 km/hr. The pilot neglects the effect of the wind and directs his plane due north and 2 hours later find himself 300km due north-east of city B. The wind velocity is

Moderate

Solution

$\begin{array}{l}\frac{300}{1000}=\frac{{v}_{\omega}}{500}\\ {v}_{\omega}=150kmh{r}^{-1}45\xbaN\text{\hspace{0.17em}}of\text{\hspace{0.17em}}Eas{t}_{}\end{array}$

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