Let's evaluate each option regarding the ball's motion during a game of bowling:
A) The ball is accelerated while it is pushed by the student's hand due to an unbalanced force.
- True: When the student's hand applies a force to the ball, it results in acceleration. This is due to an unbalanced force acting on the ball.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
- True: As the ball rolls down the lane, friction between the ball and the lane surface acts as an unbalanced force that opposes the motion, causing it to slow down.
C) The ball is accelerated while it is held in the student's hand due to balanced forces.
- False: When the ball is held in the student's hand, it is not accelerating because the forces (the weight of the ball and the support force from the hand) are balanced.
D) The ball does not change its motion as it rolls because of the balanced force provided by friction.
- False: The ball experiences a change in motion as it rolls due to friction, which is an unbalanced force that slows it down.
E) The ball does not change its motion while it is held in the student's hand due to balanced forces.
- True: While being held, the forces are balanced, so the ball does not accelerate or change its motion.
Based on the evaluation, the correct options describing the ball's motion during a game of bowling are A, B, and E.