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 .