According to newton's 3rd law of motion, if you hit a baseball with a bat it will
hurt your hand from the reaction force
accelerate according to the applied force
fly in a straight line unless an outside force changes its course
fall to the ground because of gravitational pull

Newton's third law of motion states every action has equal and opposite reaction.

So, according to that the baseball will have opposite reaction on the bat

So, among all the options it will hurt your hand because it will have opposite reaction on hand by bat.  

In newton law the interaction of one object with second object Where action is the force on one object

And the force applied by one object on second object is the reaction.

0.11 m/s and 0.28 m/s should be correct