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Why can a batter hit a pitched baseball farther than a ball he himself has tossed up in the air?

Short Answer

Expert verified

The change in momentum is more, and the ball goes farther when a batter hits a pitched baseball than a ball tossed up by him.

Step by step solution

01

Comparison of the initial momentum for the pitched ball and tossed up

The tossed-up ball will have less initial momentum than a pitched-up ball because a more initial velocity is imparted to the later than the former .

02

Comparison of the final momentum for the pitched ball and tossed up ball

You can assume that the batter hits the ball with the same strength, whether pitched or tossed. You also know that the final velocity or momentum of a body depends on its initial velocity or momentum. The higher the initial momentum, the higher will be the final momentum.

The pitched ball has a higher initial momentum than the tossed up ball; therefore the final momentum of the pitched ball will be higher.

The higher final momentum of the pitched ball suggests that the ball will travel with a greater speed and cover a farther distance than the tossed-up ball.

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