What is the horizontal impulse imparted by the bat onto the ball?

To answer this question, we need to know the initial and final velocities of the ball, as well as its mass. The horizontal impulse imparted by the bat onto the ball can be calculated using the formula:

Impulse = Change in momentum Impulse = Mass * Change in velocity

The change in velocity is the final velocity of the ball after being hit by the bat minus its initial velocity before being hit. If the ball was stationary before being hit, the initial velocity is zero and the change in velocity is just the final velocity.

So, if we know the mass of the ball and its final velocity, we can substitute these values into the formula to find the impulse.

Please note that this calculation assumes that the bat only imparts a horizontal force and that other forces (like gravity or air resistance) are negligible.