A person is rowing across the river with a velocity of 4. 5 km/hr northward. The river is flowing eastward at 3. 5 km/hr. What is the magnitude of her velocity (v) with respect to the shore?

1 answer
Question:

A person is rowing across the river with a velocity of 4. 5 km/hr northward. The river is flowing eastward at 3. 5 km/hr. What is the magnitude of her velocity (v) with respect to the shore?

Answers

The velocity of the rower relative to the shore is the sum of her velocity relative to the water and the velocity of the water relative to the shore:[tex]\vec v_{R/S} = \vec v_{R/W} + \vec v_{W/S}[/tex]Then[tex]\vec v_{R/S} = \left(4.5\dfrac{\rm km}{\rm h},0\right) + \left(0,3.5\dfrac{\rm km}{\rm h}\right) = (4.5,3.5)\dfrac{\rm km}{\rm h}[/tex]The magnitude of this velocity is√(4.5² + 3.5²) m/s ≈ 5.7 m/s

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