Posted by **chanz11** on Wednesday, April 18, 2012 at 4:51am.

a particle moves along a straight line such that its position is defined by s=(t^2-3t^2=2)m.determine the average velocity, the average speed, and the acceleration of the particle when t=4s.

- math(mechanics) -
**Reiny**, Wednesday, April 18, 2012 at 8:09am
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

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