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A car is travelling along a straight horizontal road. The car passes through a point A, on the road travelling at a speed of 
, and then accelerates uniformly at 
for 30 seconds. The car then moves at constant speed for 
seconds, where 
. The car then decelerates uniformly at 
, and after a further 
seconds passes through a point B on the road. The distance from A to B is 
, find the value of .
