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

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?

  • A. 117 kmh-1, N31oE
  • B. 127 kmh-1, N31oE
  • C. 117 kmh-1, N31oW
  • D. 127 kmh-1, N31oW
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Correct Answer: Option C
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

There is an explanation video available below.


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Explanation Video

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709