Physics (AS & A Level) · Oct / Nov 2021 · Paper 11 · Question 3

An aircraft heads in a direction at an angle θ east of north with a horizontal velocity relative to the air of 800 km h⁻¹. The wind blows with a horizontal velocity of 200 km h⁻¹ from east to west, as shown. The resultant velocity of the aircraft is in a direction due north. What is angle θ and what is the magnitude of the resultant velocity?

1. Aθ = 14°, resultant velocity = 770 km h⁻¹
2. Bθ = 14°, resultant velocity = 820 km h⁻¹
3. Cθ = 76°, resultant velocity = 770 km h⁻¹
4. Dθ = 76°, resultant velocity = 820 km h⁻¹

As printed in the paper