mayyadanarnwe96
mayyadanarnwe96 mayyadanarnwe96
  • 22-06-2020
  • Mathematics
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A ship is sailing due west …
Plz answer !!​

A ship is sailing due west Plz answer class=

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MathPhys
MathPhys MathPhys
  • 22-06-2020

Answer:

8.75° south of west

26.3 mph

Step-by-step 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

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