The function $\small{s(t)}$ describes the position of a particle moving along a coordinate line, where $\small{s}$ is in feet and $\small{t}$ is in seconds. If appropriate, enter answers in radical form. Use inf to represent $\small{\infty}$.

(a) Find the velocity and acceleration functions.

 $\qquad\qquad\quad\;\,\small{v(t)}$: $\qquad\qquad\quad\;\,\small{a(t)}$:

(b) Find the position, velocity, speed, and acceleration at $\small{t = 2}$.

 Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec$\small{^2}$):

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

 $\qquad\qquad\quad\;\;\,\small{t}$ =

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

 $\qquad$ Speeding up: $\qquad$Slowing down: