The position of a particle moving along an x axis is given by x = 23t 2- 5.0t 3, where x is in meters and t is in seconds.
(a) Find the position, velocity, and acceleration of the particle at t = 3.0 second.
x = m
v = m/s
a = m/s2
(b) Find the maximum positive coordinate reached by the particle?
(c) Determine at what time is it reached?
(d) Find the maximum positive velocity reached by the particle?
(e) Calculate at what time is it reached?
(f) Find the acceleration of the particle at the instant the particle is not moving (other than at t = 0)?
(g) Calculate the average velocity of the particle between t = 0 and t = 3 second.