William Blake is considered a visionary because he came up with many different ideas and concepts about love and marriage, he claimed to have spoken to angels and departed saints many a time as a child. He also claims to have met angels in his garden growing up and drew pictures of what he saw. Futhermore, he made many preditions, many of which have come true.

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".