anabellebircher
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50 Points please help!!
A motorized float in a Thanksgiving Day parade is traveling north at a speed of 16.0 km/h. Part of a "Pilgrim" woman's role in the thematic vignette is to walk across the float to call the men to dinner. She walks at a speed of 3.22 km/h east as the float passes the judge's booth, which is on the west side of the street. What is the woman's velocity with respect to the judge?

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sqdancefan

Answer:

  16.32 N11.38°E km/h

Step-by-step explanation:

16.0∠0° +3.22∠90° ⇒ (x, y) = (3.22, 16.0) ⇒ (r, θ) =

(3.22, 16.0) ⇒ (r, θ) = (√(3.22² +16²), arctan(3.22/16)*) = (16.32, 11.38°)

The woman's velocity is 16.32 km/h in a direction that is 11.38° east of north.

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This is her velocity in any stationary frame of reference.

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* We have used North as the reference for the angle, measured CW.

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