How a boat crosses a river

A boat moves at $3\ \text{m/s}$ in still water across a river $100\ \text{m}$ wide that flows at $2\ \text{m/s}$. Which way should it point? You will make the program try every heading, and find the quickest crossing and the heading that lands it straight opposite.

The idea. For a heading $\phi$ upstream from the line straight across,

The time is $\dfrac{d}{v_{\text{across}}}$, and the drift is $v_{\text{down}} \times$ the time.

Your tasks.

1. Find the time and the drift for every heading in the list.
2. Find the heading that gives the shortest time.
3. Find the heading that gives the drift closest to zero.