Posted by chanz11 on .
a particle moves along a straight line such that its position is defined by s=(t^23t^2=2)m.determine the average velocity, the average speed, and the acceleration of the particle when t=4s.

math(mechanics) 
Reiny,
Unusual wording of this question
When they ask for "average" velocity and acceleration, usually there is a time interval involved.
In your case , we are given t = 4, a specific time.
I would expect to be asked for the "instantaneous" velocity and acceleration
method:
if s = t^2  3t^2 + 2 (I assume a typo, since the = and + on on the same key , also is one of those a cubic? )
v= derivative of s
a = derivatiave of v
sub in t = 4