Physics

Problem

The current in a river varies across its width. At the banks (

y=0

), the velocity is zero, and it increases linearly to a maximum at the center. However, for a simplified model, assume the river velocity is given by

v_{r} = 0.5y

, where

y

is the distance from the south bank in meters. A boat launches from the south bank (

y=0

) steering strictly North at a constant speed of

2\,\text{m/s}

relative to the water. Calculate the downstream drift of the boat when it reaches the line

y = 10\,\text{m}