Question

why did it take 38 years from the time luthers wrote hils ninety-five until luthersnism was accepted at the peace of augburg?

Answer 1

The Catholic Church and its major secular ally,the Holy Roman Emperor,were not about to give up their monopoly on power through Catholic Christianity without a fight. 

This led to prolonged religious wars;by 1555 both sides were exhausted,and agreed the somewhat fudged Peace of Augsburg to paper over the cracks.