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19 January, 07:27

A boat crosses a 200m wide river at 3m/s, north relative to water. The river flows at 1m/s as shown. What is the velocity of the boat as observed by a stationary observer on the river back from the boat departed?

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  1. 19 January, 10:51
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    The resultant velocity = 3.16 m/s

    Explanation:

    Since the boat is moving North of the direction of the riverflow, the river would either be flowing westward or Eastward. The two motions form a right angle triangle with the resultant velocity being the hypotenuse of the traingle.

    The resultant velocity will be given as;

    R² = B² + r²

    Where B is the velocity of the boat and r is the velocity of the river

    R² = 3² + 1²

    R² = 10

    R = √10 = 3.16 m/s

    Therefore, the resultant velocity = 3.16 m/s
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