Motion problems using antiderivatives

[Nitrate]

Homework Statement

An object moves in a straight line with velocity v = 6t-3t^2, where v is measured in metres per second.
a) how far does the object move in the first sec?
b) how far does the object move in the first two seconds?
c) the object is back where it started when t=3. how far did it travel to get there?

Homework Equations

The Attempt at a Solution

the only bit i got was the anti derivative s=3t^2-t^3+c

help is requested :D

 

[Dick]

Homework Statement

An object moves in a straight line with velocity v = 6t-3t^2, where v is measured in metres per second.
a) how far does the object move in the first sec?
b) how far does the object move in the first two seconds?
c) the object is back where it started when t=3. how far did it travel to get there?

Homework Equations

The Attempt at a Solution

the only bit i got was the anti derivative s=3t^2-t^3+c

help is requested :D

a) should be pretty easy. It's the difference between s when t=1 and s when t=0, isn't it? Try working that out first.