The function [math] describes the position of a particle moving along a coordinate line, where [math] is in feet and [math] is in seconds. [math]

(a) Find the velocity and acceleration functions.

[math]:
[math]:

(b) Over what interval is the particle moving in the positive direction? Use inf to represent [math].

Interval:

(c) Over what interval is the particle moving in the negative direction? Use inf to represent [math].

Interval:

(d) Over what interval is the particle speeding up? Slowing down? Use inf to represent [math].

Speeding up:
Slowing down: