Physics 9702 · AS & A Level · Scalars and vectors

Scalars and vectors — practice question

An aircraft is travelling at an angle $\theta$ east of north, with a horizontal velocity relative to the air of $800 \, \text{km h}^{-1}$. A wind is blowing horizontally from east to west at $200 \, \text{km h}^{-1}$, as illustrated. The aircraft's resultant velocity is directed due north. Find the value of angle $\theta$ and the size of the resultant velocity.

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