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9 October, 23:00

A river flows due south with a speed of 5.00 m/s. A man steers a motorboat across the river; his velocity relative to the water is 4.00 m/s due east. The river is 780 m wide. Part A What is the magnitude of his velocity relative to the earth

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  1. 9 October, 23:21
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    6.4 m/s

    Explanation:

    From the question, we are given that

    Speed of the river, v (r) = 5 m/s

    velocity relative to the water, v (w) = 4 m/s

    Width of the river, d = 780 m

    The magnitude of his velocity relative to the earth is v (m)

    v (m) can be gotten by using the relation

    [v (m) ]² = [v (w) ]² + [v (r) ]²

    [v (m) ]² = 4² + 5²

    [v (m) ]² = 16 + 25

    [v (m) ]² = 41

    v (m) = √41

    v (m) = 6.4 m/s

    thus, the magnitude of the velocity relative to earth is 6.4 m/s
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