# Chapter 3 - Kinematics in Two Dimensions; Vectors - Problems: 42

$$\vec{v_{PW}} = (2.124 m/s, 0.424 m/s)$$

#### Work Step by Step

Let the boat move in the x direction and upward be the y direction. Let P denote the Passenger, B the boat, and W the Water. The pair “PW”, for example, represents the passenger’s motion relative to the water. $$\vec{v_{PW}} = \vec{v_{PB}} + \vec{v_{BW}}$$ $$= (0.60 cos 45 ^{\circ}, 0.60 sin 45 ^{\circ}) m/s + (1.70, 0) m/s$$ $$= (2.124, 0.424) m/s$$ $$\vec{v_{PW}} = (2.124 m/s, 0.424 m/s)$$

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