Home » Physics » An air craft attempt too fly due north at 100 kmh-1. If the wind blows…

An air craft attempt too fly due north at 100 kmh-1. If the wind blows…

An air craft attempt too 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.
117 kmh^-1, N31^oE
B.
127 kmh^-1, N31^oE
C.
117 kmh^-1, N31^oW
D.
127 kmh^-1, N31^oW

Correct Answer: Option C

Explanation

R² = 100² + 60²
10000 + 3600 = 13600
R = √13600 = 117km
60kml & = tan = ⁶⁰/₁₀₀
tan^-1 0.6
= 31^o west of the North
117km N31^ow