6. In baseball, a fastball takes about 1/2 second to reach the plate. Assuming that such a pitch is thrown horizontally, compare the distance the ball falls in the first 1/4 second with the distance it falls in the second 1/4 second.

The ball falls 0.3 m in the first 1/4 seconds, and it falls 0.92 m in the second 1/4 second

Explanation:

Horizontal Launch

When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.

To calculate the vertical distance (y) traveled by the object in terms of the time (t) we use:

The fastball is thrown horizontally. The distance the ball falls in t=1/4 seconds = 0.25 seconds, is:

The distance the ball falls in t=1/2 seconds = 0.5 seconds is:

The distance it falls in the second 1/4 second is:

The ball falls 0.3 m in the first 1/4 seconds, and it falls 0.92 m in the second 1/4 second