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 30Β°. Calculate the velocity of the boat.

  • 1.50ms-1 checkmark
  • 1.00ms-1
  • 0.86ms-1
  • 0.65ms-1

The correct answer is: A

Explanation

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

Angle at which the boat lands ΞΈ = 30ΒΊ

the velocity of the boat = Vb 

\(\frac{0.75}{V_b}\) = Sin30ΒΊ = 0.5 

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

 

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