The position of a particle moving along an x axis is given by x = 19t2 - 2.0t3, where x is in meters and t is in seconds.
(a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s.
x =___ m
v =____ m/s
a =___ m/s2
(b) What is the maximum positive coordinate reached by the particle?
___m
At what time is it reached?
s
(c) What is the maximum positive velocity reached by the particle?
___m/s
At what time is it reached?
s
(d) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)?
____m/s2
(e) Determine the average velocity of the particle between t = 0 and t = 3 s.
___ m/s