The function describes the position of a particle moving along a coordinate line,
where is in feet and is in seconds.
If appropriate, enter answers in radical form. Use inf
to represent .
(a) Find the velocity and acceleration functions.
(b) Find the position, velocity, speed, and acceleration at .
(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.
You can earn partial credit on this problem.