Use the motion map to answer the question. A motion map. The position line is a long black arrow pointing right with x as the reference point at left. Above the line are 3 dots with short vector arrows moving toward x, then a dot, then 2 dots with longer vector arrows moving away from x. Describe the position and velocity of the object based on the motion map.

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".