2. A people mover is a moveable walkway often seen at airports. One people mover has a velocity of 2 m/s and is used to move people to a gate 200 m away. Two different people were traveling to the gate. The first person stood still on the people mover while the second person was walking on it at 3 m/s. O m/s Walking at 3 m's People mover at 2 mus According to the information and diagram above, how much longer would it take the first person to arrive at the gate?

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".