(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A passenger walks from one side of a ferry to the other as it approaches a dock. If the passenger's velocity is 1.90 m/s due north relative to the ferry, and 4.5 m/s at an angle of 33.0° west of north relative to the water, what are the direction and magnitude of the ferry's velocity relative to the water?

_____ degrees west of north

_____ m/s

2. Relevant equations

Vfw = Vfp + Vwp

theta (angle) = tan-1 (Ay/Ax)

A (magnitude) = sqroot (Ax^2 + Ay^2)

3. The attempt at a solution

Vfw = 1.9 ^y + (-4.5) cos (33) ^x

theta = tan-1 (1.9 / -4.5 cost (33)) = -26.7 degrees

magnitude = sqroot (1.9^2 + (-4.5 cos (33))^2) = 4.2 m/s

I don't understand what I did wrong.

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# Homework Help: Relative Motion: Ferry Problem

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