Baseball has been played in America since before the Civil War and is considered the national pastime. The document discusses how calculus concepts like integration and differentiation can be applied to understand physics principles seen in baseball, such as how the force of a bat hitting a ball relates to the ball's change in momentum over the very brief period of their collision. This project aims to demonstrate how mathematics, especially calculus, is not just abstract ideas but can provide insights into real-world phenomena like what happens during a baseball bat swing.

3.  Baseball has been played since
before the American Civil War in
1861 and is considered “the
national pastime”. It is not only
played in America but in other
parts of the world. Calculus is a
division of mathematics that
consists of two parts: Integration
and Differentiation.

4. According to Newton’s Second Law, the product of mass(m) and velocity is
the measure of the “quantity of motion”. Therefore he derived this
equation for (linear) momentum(that states that Momentum is the
measurement of the effort it takes to bring a particle at rest. With this law,
we can relate the momentum of a particle to the ensuing force acting on a
particle.

5. In this project it’s told that
the collision between the
baseball and the bat lasts
about 1millisecond. Also
the change in a ball’s
momentum over a time
interval [𝑡0, 𝑡1] is equal to
the force (F) of the ball
from that time interval.

6.  This project was designed
to show that mathematics
in particular calculus is not
just a bunch of numbers,
symbols, and letters.
 Mathematics can be used
to help understand the
things that occur in our
world. Even while playing
a sport calculus and
physics can be applied to
solve problems.