JAMB - Physics (2009 - No. 37)
An air craft attempt 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?
117 kmh-1, N31oE
127 kmh-1, N31oE
117 kmh-1, N31oW
127 kmh-1, N31oW
Explanation
\(R^2 = 100^2 + 60^2\)
10000+3600 = 13600
R = \(\sqrt{13600}\) = 117km
60km & 100km = tanθ = \(\frac{60}{100}\)
\(tan^{-1}\) 0.6
= 31º west of the North
117km N31ºw
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