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15 November, 03:11

A swimmer can swim in still water at a speed of 9.50 m/s. he intends to swim directly across the river that has a downstream current of 3.75 m/s. what is his velocity relative to the bank?

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  1. 15 November, 07:05
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    Refer to the diagram shown below.

    Still-water speed = 9.5 m/s

    River speed = 3.75 m/s down stream.

    The velocity of the swimmer relative to the bank is the vector sum of his still-water speed and the speed of the river.

    The velocity relative to the bank is

    V = √ (9.5² + 3.75²) = 10.21 m/s

    The downstream angle is

    θ = tan⁻¹ 3.75/9.5 = 21.5°

    Answer: 10.2 m/s at 21.5° downstream.
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