Moon phases help?

Question

http://bcs.whfreeman.com/aol_v3/content/cat_040/ch03/m03t001a01f01ani.html

Describe where you would be on the diagram if you were on the equator and the time is midnight.

Describe where you would be on the diagram if you were on the equator and the time were 6:00 p.m.

What is the best time to see a full moon (when would it be directly overhead from the Earth’s equator)?

In which "phase" would the Earth appear if you were standing on the Moon at first quarter? Which side of the Earth would be bright?

Answer 1

Midnight: at the far left edge of the earth.

6:00 pm: at the top edge of the earth.

The full moon would pass directly overhead at the equator on the equinoxes in March and September.

When the moon is first quarter from earth, the earth would be last quarter from the moon.  It would be lit on the left, if you're in the moon's northern hemisphere.  On your simulation, it would be the position where the moon is shown straight up from the earth.  Picture yourself standing on each.

Moon and earth phases are always opposite each other.  Full for one would be new for the other.  Waxing crescent for one would be waning gibbous for the other.

Edit: This is all based on the assumption that the diagram is looking down on the northern hemisphere of the earth.  It would be spinning counterclockwise.