The impulse is the change of momentum. Momentum is the product of the mass and the velocity of an object. Or in other words, mass times the velocity is the momentum.
We take the direction of delivery of the ball to the plate as positive and the opposite as negatve.
The momentum of the ball thrown by the pitcher while crossing the home plate = mass of the ball * its velocity.= 0.15kg*14m/s.
After the ball is hit its velocity = 32m/s in the opposite direction or -32m/s,
The momentum of the ball after hit = (0.15kg)*(-32m/s).
Therefore the change of momentum = final momentum - initial momentum before hit = (-0.15kg)*(32m/s)-(0.15 kg)*(14m/s)
= - 6.9 kg m/s is the impulse or the change of momentum in the ball after hit.
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