Answer
$$ \vec{v_{PW}} = (2.124 m/s, 0.424 m/s)$$
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.
$$ \vec{v_{PW}} = \vec{v_{PB}} + \vec{v_{BW}} $$
$$= (0.60 cos 45 ^{\circ}, 0.60 sin 45 ^{\circ}) m/s + (1.70, 0) m/s$$
$$= (2.124, 0.424) m/s$$
$$ \vec{v_{PW}} = (2.124 m/s, 0.424 m/s)$$
