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 using ln . Use inf to represent .

(a) Find the velocity and acceleration functions.


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

Position (ft):
Velocity (ft/sec):
Speed (ft/sec):
Acceleration (ft/sec):

(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.

Speeding up:
Slowing down:

You can earn partial credit on this problem.