Answer
Mechanical energy remains same. So, potential energy remains same as long as the height remains same. Hence, the kinetic energy will not also alter, because no external force is not given to the ball. So, if the student does not move, the ball would not hit the student's nose.
Work Step by Step
Mechanical energy remains same. So, potential energy remains same as long as the height remains same. Hence, the kinetic energy will not also alter, because no external force is not given to the ball. So, if the student does not move, the ball would not hit the student's nose.