Question 3
Scalars and VectorsAn aircraft attempts to fly due north at 100 kmh−1. If the wind blows against it from east to west at 60 kmh−1, its resultant velocity is
- A.117kmh−1, N31°E.
- B.127kmh−1, N31°E.
- C.117kmh−1, N31°W.
- D.127kmh−1, N31°W.
Show the answer and explanation
Answer: C (117kmh−1, N31°W.)
Explanation
Magnitude = √(1002 + 602) ≈ 117 km h−1. The wind pushes it westward, at tan−1(60/100) ≈ 31° west of north: N31°W.