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A particle moves in a straight line so that,

`t`

seconds after leaving a fixed point

`O`

, its displacement,

`s`

metres from a fixed point

`O`

, is given by

`s=9t^(2)+6t^(3)-2t^(4)`

. Find (a) the displacement after 2 seconds, (b) the distance travelled in the third second, (c) the distance travelled in the first 4 seconds, (d) the distance from

`O`

when

`t=5`

, (e) the total distance travelled during the interval

`0<=t<=`

5 .