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

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Physics JAMB 2009

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 checkmark
  • 127 kmh-1, N31oW

The correct answer is: C

Explanation

\(R^2 = 100^2 + 60^2\)
10000+3600 = 13600
R = \(\sqrt{13600}\) = 117km
60km & 100km = tanΞΈ = \(\frac{60}{100}\)
\(tan^{-1}\) 0.6
= 31ΒΊ west of the North
117km N31ΒΊw

There is an explanation video available .

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