A baseball has a mass that is $0\mathrm{.}145$ kg and is pitched at a batter with an initial velocity of $45$ m$/$s$.$ The batter hits it such that it goes back towards the pitcher at $30$ m$/$s$.$

What is the initial momentum of the baseball?

What is the final momentum of baseball?

What is the change in momentum of baseball? $($Remember that signs matter!$)$

What is the impulse that the bat had to apply to the baseball?

How does the impulse that the bat applies to the ball compare with the impulse that the ball applies to the bat?

If the bat has a mass of $1$kg and an initial velocity of $25$ m$/$s$,$ how much does the bat slow down after it hits the ball?