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] If appropriate, enter answers in radical form. Use inf to represent [math].

(a) Find the velocity and acceleration functions.


(b) Find the position, velocity, speed, and acceleration at [math].

Position (ft):
Velocity (ft/sec):
Speed (ft/sec):
Acceleration (ft/sec[math]):

(c) At what times is the particle stopped? Enter as a comma-separated list.


(d) When is the particle speeding up? Slowing down? Enter using interval notation.

[math] Speeding up:
[math]Slowing down: