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

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

Correct Answer: Option A

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