A river flows due east at 1.00 m/s. A boat crosses the river...?

A river flows due east at 1.00 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 14.0 m/s due north relative to the water.

(a) What is the velocity of the boat relative to shore?

m/s

(north of east)

(b) If the river is 320 m wide, how far downstream has the boat moved by the time it reaches the north shore?

1 Answer

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  • Anonymous
    9 years ago
    Favorite Answer

    This is a trigonometric like question, and needs a triangle, so I can only show you the answer..

    a. And is 14.04 m/s [N85.9E]

    b.

    tan theta = opposite/adjacent

    tan 86.9 = 320 / adjacent

    adjacent = 320/tan86.9

    = 22.94 m

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