I don’t want to do this, have at it! Answer both questions for thanks in advance!

Question(s):
The Moon takes about 29 days to orbit Earth. In this activity, there were eight positions the Moon could be in.

1. How many days would it take for the Moon to get from position #2 to position #4 in its orbit?

2. What phases would the Moon go through as it traveled from position #2 to position #4?

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".