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A ship is sailing due west …
Plz answer !!​

A ship is sailing due west … Plz answer !!​-example-1
User Matten
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1 Answer

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Answer:

8.75° south of west

26.3 mph

Explanation:

Let's say that east is +x and north is +y.

The sailor's horizontal velocity is -26 mph. The vertical velocity is -4 mph. So the velocity vector is in the 3rd quadrant. The direction is:

θ = tan⁻¹(-4 / -26)

θ = 188.75°, or 8.75° south of west.

The magnitude of the speed is:

v = √((-4)² + (-26)²)

v = 26.3 mph

User Dennis Zickefoose
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6.9k points