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A particle X moves in a straight line. The displacement of X from O at time 
after leaving O is 
, where 
, for 
. For 
, the acceleration of X at time after leaving O is 
, where 
. There is no change in the velocity of X at 
. The velocity of X at 
is 
.
Find the value of 
.
Find the total distance travelled by X between 
and .
