Question 34 (1 point) 10 Position (m) -10 0 1 2 3 6 7 8 9 10 5 Time (s) Consider the motion of an object given by the position vs. time graph shown. For what time(s) is the speed of the object greatest? Word Bank: between 5 -75 At time t = 10$ At time t = 3.0 s At all times from t = 0.0 s- t = 2.0 s At time t = 8.5 s At time t = 4.0 s

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".