Generic intuition pump: take much more extreme values: what happens if the ball is thrown at a million miles per hour? Maybe it bounces back at a million miles per hour, maybe the batter looks in dismay at the pile of splinters that used to be his bat … so it depends of what your model of the batter is. The question as asked doesn’t allow to answer that question, though you could probably estimate a reasonable model of a batter.
Generic intuition pump: take much more extreme values: what happens if the ball is thrown at a million miles per hour? Maybe it bounces back at a million miles per hour, maybe the batter looks in dismay at the pile of splinters that used to be his bat … so it depends of what your model of the batter is. The question as asked doesn’t allow to answer that question, though you could probably estimate a reasonable model of a batter.