Answer:
(a) Let the speed of the ball be \[u\] relative to the wicket behind the bat. If the bat is moving towards the ball with a speed V relative to the wicket, then the relative speed of the ball to bat is \[\text{V }+u\] towards the bat. When the ball rebounds (after hitting the massive bat) its speed, relative to bat,\[V+(V+u)=2V+u\], moving away from the wicket. So the ball speeds up after the collision with the bat. For a molecule this would imply an increase in temperature. (b) When a gas in cylinder is compressed by pushing in a piston, the speed of the molecules or their kinetic energy increases. This increases the temperature of the gas. (c) When a compressed gas pushes a piston out, the speed of the molecules or their kinetic energy decreases. This decreases the temperature of the gas. (d) When the ball is hit with a heavy bat, the rebound speed of the ball further increases. It helps to score better.
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