Question

If a river is flowing south at 4 m/s and you swim straight across (i.e. east) at 2 m/s; admittedly, you're going to drift a bit south. That said, calculate that distance that you drifted south from your starting point. The river is 16 m wide.

Answer 1

We have that the distance that you drifted south from your starting point is

$\triangle y=32m$

From the question we are told that

a river is flowing south at 4 m/s

you swim straight across (i.e. east) at 2 m/s; admittedly

The river is 16 m wide

Generally the equation for the change in direction  is mathematically given as

$\triangle x = v_x t\\\\16=2*t\\\\t=8s$

Therefore

$\triangle y = v_y t\\\\\triangle y=4*8\\\\\triangle y=32m$

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