Acar travels in a straight line along a road. its distance x from a stop sign is given as a function of time t by the equation x(t)=9t^2-8t^3 m . find the acceleration (in m/s/s) of the car at t = 4.6 s. give answer with two decimal places. don't use the units in the answer box.

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".