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A stream is flowing at 0.75ms\(^{-1}\) and a boat heading perpendicular for the stream landed...

Physics
JAMB 2000

A stream is flowing at 0.75ms\(^{-1}\) and a boat heading perpendicular for the stream landed at the opposite bank at an angle of 30°. Calculate the velocity of the boat.

  • A. 1.50ms-1
  • B. 1.00ms-1
  • C. 0.86ms-1
  • D. 0.65ms-1
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Correct Answer: Option A
Explanation

Let the velocity of stream be Vs = 0.75m/s

Angle at which the boat lands θ = 30º

the velocity of the boat = Vb 

\(\frac{0.75}{V_b}\) = Sin30º = 0.5 

∴ V\(_b\) = \(\frac{0.75}{0.5}\) = 1.5m/s

 

There is an explanation video available below.


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Explanation Video

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